Pith Number

pith:UOUJUUFD

pith:2016:UOUJUUFD2UV7MNDMLQP7LE37ES

not attested not anchored not stored refs pending

Reidemeister torsion, complex volume, and Zograf infinite product

Jinsung Park

arxiv:1612.06480 v1 · 2016-12-20 · math.DG · 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{UOUJUUFD2UV7MNDMLQP7LE37ES}

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	2026-05-18T00:54:25.712435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a89a50a3d52bf6346c5c1ff5937f249034712de2324ee07ba031eeff370c31

Aliases

arxiv: 1612.06480 · arxiv_version: 1612.06480v1 · doi: 10.48550/arxiv.1612.06480 · pith_short_12: UOUJUUFD2UV7 · pith_short_16: UOUJUUFD2UV7MNDM · pith_short_8: UOUJUUFD

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/UOUJUUFD2UV7MNDMLQP7LE37ES \
  | 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: a3a89a50a3d52bf6346c5c1ff5937f249034712de2324ee07ba031eeff370c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d52125e003df7a73e62300f856709cd22c82bd473fc7d4d55dbd10f143a39e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-20T01:29:32Z",
    "title_canon_sha256": "5d96a409bae845239c5fe85fbc356553abcb41cf643cc2b33327b3e3f5439b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06480",
    "kind": "arxiv",
    "version": 1
  }
}