Pith Number

pith:V7LVS6YW

pith:2011:V7LVS6YWGMKNQPSSET3KKA3CMS

not attested not anchored not stored refs pending

Knot Invariants from Four-Dimensional Gauge Theory

Davide Gaiotto, Edward Witten

arxiv:1106.4789 v1 · 2011-06-23 · hep-th · math-ph · math.DG · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7LVS6YWGMKNQPSSET3KKA3CMS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Reductions in Khovanov-Rozansky operator formalism

Receipt and verification

First computed	2026-05-18T02:01:31.478478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd7597b163314d83e5224f6a50362648076ac7f02b0dcdece57eff3de5b0f81

Aliases

arxiv: 1106.4789 · arxiv_version: 1106.4789v1 · doi: 10.48550/arxiv.1106.4789 · pith_short_12: V7LVS6YWGMKN · pith_short_16: V7LVS6YWGMKNQPSS · pith_short_8: V7LVS6YW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/V7LVS6YWGMKNQPSSET3KKA3CMS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: afd7597b163314d83e5224f6a50362648076ac7f02b0dcdece57eff3de5b0f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8584a3dbf0ab1c42ef065eb6e8bbe92922e412ebf7c9aecd37ab4f5702c18a",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-23T18:42:47Z",
    "title_canon_sha256": "28039d0f4e357e0299c790675dddd584823f0ebf1d7c5850b3bc709a3822cbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4789",
    "kind": "arxiv",
    "version": 1
  }
}