Pith Number

pith:TUHURH6E

pith:2009:TUHURH6EU65HPRKSPIBB5BGEMG

not attested not anchored not stored refs pending

Sigma Function as A Tau Function

Atsushi Nakayashiki

arxiv:0904.0846 v2 · 2009-04-06 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUHURH6EU65HPRKSPIBB5BGEMG}

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	2026-05-18T03:54:37.902456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0f489fc4a7ba77c5527a021e84c461bd51b0b50a92113d4e9e178fea9bd3dd

Aliases

arxiv: 0904.0846 · arxiv_version: 0904.0846v2 · doi: 10.48550/arxiv.0904.0846 · pith_short_12: TUHURH6EU65H · pith_short_16: TUHURH6EU65HPRKS · pith_short_8: TUHURH6E

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/TUHURH6EU65HPRKSPIBB5BGEMG \
  | 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: 9d0f489fc4a7ba77c5527a021e84c461bd51b0b50a92113d4e9e178fea9bd3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b0f8877145813bcefbdecf66df5db9c486cd36bb4ac1c1568e91981921ebee",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-06T04:53:33Z",
    "title_canon_sha256": "de91eeb3dfbab6bcfaa8348d617e07e6a57cc677b8dacffec842ffc1c74dbecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0846",
    "kind": "arxiv",
    "version": 2
  }
}