Pith Number

pith:VGM5P2TL

pith:2011:VGM5P2TLCA6TOQO62BV6JAHKNR

not attested not anchored not stored refs pending

Intersections of Loops and the Andersen-Mattes-Reshetikhin Algebra

Patricia Cahn, Vladimir Chernov

arxiv:1105.4638 v2 · 2011-05-23 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGM5P2TLCA6TOQO62BV6JAHKNR}

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	2026-05-18T02:58:00.881578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a999d7ea6b103d3741ded06be480ea6c6d23fa7d3ba6ea688f73179d0b88226b

Aliases

arxiv: 1105.4638 · arxiv_version: 1105.4638v2 · doi: 10.48550/arxiv.1105.4638 · pith_short_12: VGM5P2TLCA6T · pith_short_16: VGM5P2TLCA6TOQO6 · pith_short_8: VGM5P2TL

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/VGM5P2TLCA6TOQO62BV6JAHKNR \
  | 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: a999d7ea6b103d3741ded06be480ea6c6d23fa7d3ba6ea688f73179d0b88226b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9d4ac46da664be07d8eb6b47e56acba083f703fcc42edd3f56ac79271ca593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-23T21:19:51Z",
    "title_canon_sha256": "5ec2012639508f3d7281c8e2d9d012d3e5c1d26b14d7c8a489593454be115978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4638",
    "kind": "arxiv",
    "version": 2
  }
}