Pith Number

pith:A3RM4M3P

pith:2016:A3RM4M3PTNWCMB4324VQLPY26B

not attested not anchored not stored refs pending

Two Lectures on Gauge Theory and Khovanov Homology

Edward Witten

arxiv:1603.03854 v2 · 2016-03-12 · math.GT · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3RM4M3PTNWCMB4324VQLPY26B}

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.

Receipt and verification

First computed	2026-05-18T00:51:51.644803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e2ce336f9b6c26079bd72b05bf1af059d693646665054e92ac1da4f25354a6

Aliases

arxiv: 1603.03854 · arxiv_version: 1603.03854v2 · doi: 10.48550/arxiv.1603.03854 · pith_short_12: A3RM4M3PTNWC · pith_short_16: A3RM4M3PTNWCMB43 · pith_short_8: A3RM4M3P

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/A3RM4M3PTNWCMB4324VQLPY26B \
  | 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: 06e2ce336f9b6c26079bd72b05bf1af059d693646665054e92ac1da4f25354a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1598ff83cfb0d8d773223b27b1ebdc34b90b44b61454a59a7a7c4d6c8d22c78",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-12T03:43:03Z",
    "title_canon_sha256": "3f57c0ad23d47a176e00f1a879ddc8c8268d32210bf2ab01e08d591cd3974859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03854",
    "kind": "arxiv",
    "version": 2
  }
}