Pith Number

pith:TSQW37QQ

pith:2006:TSQW37QQRZGOVCUMYJ3JCDDFKM

not attested not anchored not stored refs pending

Complex valued Ray-Singer torsion

Dan Burghelea, Stefan Haller

arxiv:math/0604484 v3 · 2006-04-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSQW37QQRZGOVCUMYJ3JCDDFKM}

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	2026-05-18T01:55:43.702898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca16dfe108e4cea8a8cc276910c655309d7a48947b654ea248a75c03bc6aab3

Aliases

arxiv: math/0604484 · arxiv_version: math/0604484v3 · doi: 10.48550/arxiv.math/0604484 · pith_short_12: TSQW37QQRZGO · pith_short_16: TSQW37QQRZGOVCUM · pith_short_8: TSQW37QQ

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/TSQW37QQRZGOVCUMYJ3JCDDFKM \
  | 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: 9ca16dfe108e4cea8a8cc276910c655309d7a48947b654ea248a75c03bc6aab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d860555f9e20d13535f12c9e8f563597444ac20a3d5bec3abcffa741218f914f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-04-22T08:42:41Z",
    "title_canon_sha256": "11dc26c9b53f08b094f4a2cfb2ed206fbc700ce58fa231ceedef5d41587b0ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604484",
    "kind": "arxiv",
    "version": 3
  }
}