Pith Number

pith:UIRJ3QIW

pith:2017:UIRJ3QIWWHQV54IRGXXZEUBEGY

not attested not anchored not stored refs pending

Reidemeister torsion, Complex volume, and Zograf infinite product for hyperbolic 3-manifolds with cusps

Jinsung Park

arxiv:1712.08270 v1 · 2017-12-22 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIRJ3QIWWHQV54IRGXXZEUBEGY}

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	2026-05-18T00:27:23.963819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2229dc116b1e15ef11135ef925024361372733b6d9a642a2df74cb08e8fe24e

Aliases

arxiv: 1712.08270 · arxiv_version: 1712.08270v1 · doi: 10.48550/arxiv.1712.08270 · pith_short_12: UIRJ3QIWWHQV · pith_short_16: UIRJ3QIWWHQV54IR · pith_short_8: UIRJ3QIW

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/UIRJ3QIWWHQV54IRGXXZEUBEGY \
  | 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: a2229dc116b1e15ef11135ef925024361372733b6d9a642a2df74cb08e8fe24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6b31f79824685735937de37829c5ed087a6053b4245e8aac8f8fef1aa78867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-22T01:40:53Z",
    "title_canon_sha256": "ad7f975894b6be59360b4c853a2735dbcc4c3268b830ee7b6bb7bb59c341fee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08270",
    "kind": "arxiv",
    "version": 1
  }
}