Pith Number

pith:3FLWYSFG

pith:1998:3FLWYSFGHTF6GK62TAIXWON3HI

not attested not anchored not stored refs pending

Intersections in hyperbolic manifolds

Igor Belegradek

arxiv:math/9807189 v1 · 1998-07-20 · 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{3FLWYSFGHTF6GK62TAIXWON3HI}

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	2026-05-18T02:37:59.301570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9576c48a63ccbe32bda98117b39bb3a38360aecc94af9a9aa3fa18357b3682d

Aliases

arxiv: math/9807189 · arxiv_version: math/9807189v1 · doi: 10.48550/arxiv.math/9807189 · pith_short_12: 3FLWYSFGHTF6 · pith_short_16: 3FLWYSFGHTF6GK62 · pith_short_8: 3FLWYSFG

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/3FLWYSFGHTF6GK62TAIXWON3HI \
  | 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: d9576c48a63ccbe32bda98117b39bb3a38360aecc94af9a9aa3fa18357b3682d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594cf1f7127be8e81ca99b2822f76a129a32da3fc922c323daccf8e03d57392b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-07-20T00:00:00Z",
    "title_canon_sha256": "8e42b037300d8416513fcd6627eeb85ff57fed7728baf911c4bf69ccc616b2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807189",
    "kind": "arxiv",
    "version": 1
  }
}