Pith Number

pith:KTI7ADEP

pith:2023:KTI7ADEP6FM7GT5CKXZOY57C3S

not attested not anchored not stored refs pending

1-loop equals torsion for fibered 3-manifolds

Nathan M. Dunfield, Seokbeom Yoon, Stavros Garoufalidis

arxiv:2304.00469 v3 · 2023-04-02 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTI7ADEP6FM7GT5CKXZOY57C3S}

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	2026-07-05T09:54:42.490267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d1f00c8ff159f34fa255f2ec77e2dcb4b2318b7bac564b01b699f6ea19e997

Aliases

arxiv: 2304.00469 · arxiv_version: 2304.00469v3 · doi: 10.48550/arxiv.2304.00469 · pith_short_12: KTI7ADEP6FM7 · pith_short_16: KTI7ADEP6FM7GT5C · pith_short_8: KTI7ADEP

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/KTI7ADEP6FM7GT5CKXZOY57C3S \
  | 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: 54d1f00c8ff159f34fa255f2ec77e2dcb4b2318b7bac564b01b699f6ea19e997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb7721576d1a917330485a196852d400493ddf54bf9343b1abe9892c695350b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-02T06:53:15Z",
    "title_canon_sha256": "482214627d0d3ce706ca33f1c18c6ded43e475ab8a21917fa00992de8691f0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.00469",
    "kind": "arxiv",
    "version": 3
  }
}