Pith Number

pith:VSDW3663

pith:2017:VSDW36634FBC7RYR755S3WIMMU

not attested not anchored not stored refs pending

Gromov norm and Turaev-Viro invariants of 3-manifolds

Efstratia Kalfagianni, Renaud Detcherry

arxiv:1705.09964 v4 · 2017-05-28 · 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{VSDW36634FBC7RYR755S3WIMMU}

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	2026-05-17T23:54:41.846036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac876dfbdbe1422fc711ff7b2dd90c65252396d663f9e16edf8ada37dac3a3e2

Aliases

arxiv: 1705.09964 · arxiv_version: 1705.09964v4 · doi: 10.48550/arxiv.1705.09964 · pith_short_12: VSDW36634FBC · pith_short_16: VSDW36634FBC7RYR · pith_short_8: VSDW3663

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/VSDW36634FBC7RYR755S3WIMMU \
  | 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: ac876dfbdbe1422fc711ff7b2dd90c65252396d663f9e16edf8ada37dac3a3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8888a72b6b9fbc24e0b4e018827e8269b088be8ad2fc51a15f7a8cce36fdde7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-28T17:26:58Z",
    "title_canon_sha256": "43f6d7b7c20f7dc3904d5f81065b010c0c5c2e75055507e927bb6385db578a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09964",
    "kind": "arxiv",
    "version": 4
  }
}