Pith Number

pith:2GQEB244

pith:2011:2GQEB244D4G4RWEGSPVD5Q6ETH

not attested not anchored not stored refs pending

Knot state asymptotics I, AJ Conjecture and abelian representations

Julien Marche, Laurent Charles

arxiv:1107.1645 v1 · 2011-07-08 · math.GT · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GQEB244D4G4RWEGSPVD5Q6ETH}

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	2026-05-18T04:18:35.278524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a040eb9c1f0dc8d88693ea3ec3c499c5f68011a1104136a83da2f89239e76b

Aliases

arxiv: 1107.1645 · arxiv_version: 1107.1645v1 · doi: 10.48550/arxiv.1107.1645 · pith_short_12: 2GQEB244D4G4 · pith_short_16: 2GQEB244D4G4RWEG · pith_short_8: 2GQEB244

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/2GQEB244D4G4RWEGSPVD5Q6ETH \
  | 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: d1a040eb9c1f0dc8d88693ea3ec3c499c5f68011a1104136a83da2f89239e76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8197ac3dc5aede0c1eadaa2aeb26a30291db09f6810cb9d319dbe3635c6b4f16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-08T14:32:26Z",
    "title_canon_sha256": "af94e3a90faf9cf44df8b5ed640a423c36bf70280838d7415b5d30366e6ee312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1645",
    "kind": "arxiv",
    "version": 1
  }
}