Pith Number

pith:323YGUF5

pith:2024:323YGUF5P57EC2SJCNGQIMMSOP

not attested not anchored not stored refs pending

A Torres formula for twisted Reidemeister torsion

Peter Seokhee Seong

arxiv:2412.00080 v1 · 2024-11-26 · 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{323YGUF5P57EC2SJCNGQIMMSOP}

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	2026-07-05T09:42:36.019138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb78350bd7f7e416a49134d04319273d4a9f67818fb77aa28dca1a36e464811

Aliases

arxiv: 2412.00080 · arxiv_version: 2412.00080v1 · doi: 10.48550/arxiv.2412.00080 · pith_short_12: 323YGUF5P57E · pith_short_16: 323YGUF5P57EC2SJ · pith_short_8: 323YGUF5

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/323YGUF5P57EC2SJCNGQIMMSOP \
  | 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: deb78350bd7f7e416a49134d04319273d4a9f67818fb77aa28dca1a36e464811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7157078900ea5a8f58036d4872acb1c912a8b7537dcd095bcf06d32ceca91931",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-26T19:46:25Z",
    "title_canon_sha256": "b9462f80bb019a44e6e355c9de60e3e65972dd18c289210c8f6d175975d8ab82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00080",
    "kind": "arxiv",
    "version": 1
  }
}