Pith Number

pith:QBHAMAC2

pith:2019:QBHAMAC2OHNZQHWUKCYUFSYDPZ

not attested not anchored not stored refs pending

Alexander and Markov Theorems for Generalized Knots, I

Andrew Bartholomew, Roger Fenn

arxiv:1902.04263 v1 · 2019-02-12 · 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{QBHAMAC2OHNZQHWUKCYUFSYDPZ}

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	2026-05-17T23:54:12.709617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804e06005a71db981ed450b142cb037e6e2524e522b74b6c3db608c7eb4c866b

Aliases

arxiv: 1902.04263 · arxiv_version: 1902.04263v1 · doi: 10.48550/arxiv.1902.04263 · pith_short_12: QBHAMAC2OHNZ · pith_short_16: QBHAMAC2OHNZQHWU · pith_short_8: QBHAMAC2

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/QBHAMAC2OHNZQHWUKCYUFSYDPZ \
  | 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: 804e06005a71db981ed450b142cb037e6e2524e522b74b6c3db608c7eb4c866b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae27bdd255c4b172b5f307f5f1861f5ff58b1cbb9b006e69c8e78043f15e48d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-12T07:34:54Z",
    "title_canon_sha256": "89bc5ab23b0c00bb6d9fb128ba0facc4328a5f0140f2107f9455a2b5a6a58988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04263",
    "kind": "arxiv",
    "version": 1
  }
}