Pith Number

pith:XWHVW6IV

pith:2012:XWHVW6IV5BLWUQRE3KHD2GD3PX

not attested not anchored not stored refs pending

The Link Volume of Hyperbolic 3-Manifolds

Yasushi Yamashita, Yo'av Rieck

arxiv:1211.1839 v1 · 2012-11-08 · 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{XWHVW6IV5BLWUQRE3KHD2GD3PX}

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	2026-05-18T00:54:20.902098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8f5b7915e8576a4224da8e3d187b7de2a5321d4e8c8181f25b3cb415c3c386

Aliases

arxiv: 1211.1839 · arxiv_version: 1211.1839v1 · doi: 10.48550/arxiv.1211.1839 · pith_short_12: XWHVW6IV5BLW · pith_short_16: XWHVW6IV5BLWUQRE · pith_short_8: XWHVW6IV

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/XWHVW6IV5BLWUQRE3KHD2GD3PX \
  | 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: bd8f5b7915e8576a4224da8e3d187b7de2a5321d4e8c8181f25b3cb415c3c386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe6df45b94daf85d1bd5624dbcb9ad291df721f799edf781e6988e7622ceccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-08T12:49:58Z",
    "title_canon_sha256": "90317354170ecdd5ffec1c45adb9737769b948f01c97c5969023658db7740c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1839",
    "kind": "arxiv",
    "version": 1
  }
}