Pith Number

pith:FLMZN5GI

pith:2024:FLMZN5GIJ4ENXLAXNTVS4MMQFL

not attested not anchored not stored refs pending

On a volume invariant of 3-manifolds

Arunima Ray, Em Thompson, Jonathan Spreer, Marc Kegel, Stephan Tillmann

arxiv:2402.04839 v2 · 2024-02-07 · 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{FLMZN5GIJ4ENXLAXNTVS4MMQFL}

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	2026-06-10T01:08:26.037569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad996f4c84f08dbac176ceb2e31902acfa10e881192763b3089e46ede7af76d

Aliases

arxiv: 2402.04839 · arxiv_version: 2402.04839v2 · doi: 10.48550/arxiv.2402.04839 · pith_short_12: FLMZN5GIJ4EN · pith_short_16: FLMZN5GIJ4ENXLAX · pith_short_8: FLMZN5GI

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/FLMZN5GIJ4ENXLAXNTVS4MMQFL \
  | 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: 2ad996f4c84f08dbac176ceb2e31902acfa10e881192763b3089e46ede7af76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb91fa92191c65ca4a523c5f67e7fd03a8e8f5812e03a5d814395386dfb3b0a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-02-07T13:41:42Z",
    "title_canon_sha256": "139d4ba676d5ce0263a3f379091eed580495fdc2d72e67340e07b2bdee30832d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04839",
    "kind": "arxiv",
    "version": 2
  }
}