Pith Number

pith:PNE2F26T

pith:2009:PNE2F26T5DM63JVK424NMJAKCX

not attested not anchored not stored refs pending

Oscilatory modules

Boris Tsygan

arxiv:0905.0290 v1 · 2009-05-03 · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNE2F26T5DM63JVK424NMJAKCX}

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	2026-05-18T02:13:48.095903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b49a2ebd3e8d9eda6aae6b8d6240a15c2fe75842947174f910544a8f84da096

Aliases

arxiv: 0905.0290 · arxiv_version: 0905.0290v1 · doi: 10.48550/arxiv.0905.0290 · pith_short_12: PNE2F26T5DM6 · pith_short_16: PNE2F26T5DM63JVK · pith_short_8: PNE2F26T

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/PNE2F26T5DM63JVK424NMJAKCX \
  | 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: 7b49a2ebd3e8d9eda6aae6b8d6240a15c2fe75842947174f910544a8f84da096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4e3b3e47d7f99d60558f81ddf6986db111549f03fc9cc3b95b5db045755b52",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-05-03T21:27:48Z",
    "title_canon_sha256": "f0be7f8338f4af5e6c0892a201156584adbd1c9d34a9fda269dc88529a3933f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0290",
    "kind": "arxiv",
    "version": 1
  }
}