Pith Number

pith:ZDNMDNJO

pith:2019:ZDNMDNJO4TP6HDBVS5C4XSHE7E

not attested not anchored not stored refs pending

A two-variable series for knot complements

Ciprian Manolescu, Sergei Gukov

arxiv:1904.06057 v2 · 2019-04-12 · math.GT · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDNMDNJO4TP6HDBVS5C4XSHE7E}

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 $U_q(\mathfrak{su}_N)$

A supergroup series for knot complements

Receipt and verification

First computed	2026-07-05T01:14:24.473265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8dac1b52ee4dfe38c359745cbc8e4f90adf06a9825b26febd45149b32951468

Aliases

arxiv: 1904.06057 · arxiv_version: 1904.06057v2 · doi: 10.48550/arxiv.1904.06057 · pith_short_12: ZDNMDNJO4TP6 · pith_short_16: ZDNMDNJO4TP6HDBV · pith_short_8: ZDNMDNJO

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/ZDNMDNJO4TP6HDBVS5C4XSHE7E \
  | 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: c8dac1b52ee4dfe38c359745cbc8e4f90adf06a9825b26febd45149b32951468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110b9c0d62a5d6d4061dd108fb78f5486655df2cc8efef881011b47e7aaebe07",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-12T06:26:36Z",
    "title_canon_sha256": "143732b61021869f1f53e4b6105a920d41faff0978e6bc96d0d577ffcb8f183c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06057",
    "kind": "arxiv",
    "version": 2
  }
}