Pith Number

pith:N6T7V4W4

pith:2014:N6T7V4W4RFRWBYBKYFGS5K5L7B

not attested not anchored not stored refs pending

A gluing formula for Reidemeister-Turaev torsion

Stefano Borghini

arxiv:1401.0431 v1 · 2014-01-02 · 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{N6T7V4W4RFRWBYBKYFGS5K5L7B}

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	2026-05-18T00:16:46.297542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fa7faf2dc896360e02ac14d2eababf8531b55dc9ac585ee30ab4b76d74df6c4

Aliases

arxiv: 1401.0431 · arxiv_version: 1401.0431v1 · doi: 10.48550/arxiv.1401.0431 · pith_short_12: N6T7V4W4RFRW · pith_short_16: N6T7V4W4RFRWBYBK · pith_short_8: N6T7V4W4

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/N6T7V4W4RFRWBYBKYFGS5K5L7B \
  | 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: 6fa7faf2dc896360e02ac14d2eababf8531b55dc9ac585ee30ab4b76d74df6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e990325a535f75b4bf77c91a1658282ed48084bf566ea6b662caf28a04dfe5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-02T13:30:07Z",
    "title_canon_sha256": "0cf7c5fcd5eaefb88eac05c4644b9ded05e733af419d07edf903c4c38172b6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0431",
    "kind": "arxiv",
    "version": 1
  }
}