Pith Number

pith:GJTWTFU4

pith:2013:GJTWTFU4PQNECUWMD7U2JBXQWF

not attested not anchored not stored refs pending

Complex hyperbolic geometry of the figure eight knot

Elisha Falbel (IMJ, Inria Paris-Rocquencourt), Martin Deraux (IF)

arxiv:1303.7096 v2 · 2013-03-28 · 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{GJTWTFU4PQNECUWMD7U2JBXQWF}

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	2026-05-18T02:03:38.363981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326769969c7c1a4152cc1fe9a486f0b14043a4dbe3170ed378ee9cadd21c50db

Aliases

arxiv: 1303.7096 · arxiv_version: 1303.7096v2 · doi: 10.48550/arxiv.1303.7096 · pith_short_12: GJTWTFU4PQNE · pith_short_16: GJTWTFU4PQNECUWM · pith_short_8: GJTWTFU4

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/GJTWTFU4PQNECUWMD7U2JBXQWF \
  | 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: 326769969c7c1a4152cc1fe9a486f0b14043a4dbe3170ed378ee9cadd21c50db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2683babef7dfbee1cd85b6839f2a2d85b36c14ca413f3cef2f468063b44077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T11:06:39Z",
    "title_canon_sha256": "2533411dcde39a28e86debf724dd237d065b739e6af1bd47c3700adaed879946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7096",
    "kind": "arxiv",
    "version": 2
  }
}