Pith Number

pith:JQDMXAFE

pith:2010:JQDMXAFEESQT3B2XOLRO4N2LQT

not attested not anchored not stored refs pending

The groups of fibred 2-knots

Jonathan A. Hillman

arxiv:1004.3827 v1 · 2010-04-22 · 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{JQDMXAFEESQT3B2XOLRO4N2LQT}

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	2026-05-18T00:11:19.770038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c06cb80a424a13d875772e2ee374b84c6919fe85cbfadfec0e9c77f9cadcb31

Aliases

arxiv: 1004.3827 · arxiv_version: 1004.3827v1 · doi: 10.48550/arxiv.1004.3827 · pith_short_12: JQDMXAFEESQT · pith_short_16: JQDMXAFEESQT3B2X · pith_short_8: JQDMXAFE

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/JQDMXAFEESQT3B2XOLRO4N2LQT \
  | 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: 4c06cb80a424a13d875772e2ee374b84c6919fe85cbfadfec0e9c77f9cadcb31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51fc22a9b94afb5b0262404e2a98b11e644c749b84b92c7585f8e1c2cb86c647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-22T02:06:52Z",
    "title_canon_sha256": "7d098c2b93c12fb4187ec34fab1c7ac7f8a2389209f9fdeb62947495876fa077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3827",
    "kind": "arxiv",
    "version": 1
  }
}