Pith Number

pith:JRU6AGR6

pith:2009:JRU6AGR6E7G4XBFC7FM675BZYP

not attested not anchored not stored refs pending

Structured ring spectra and displays

Tyler Lawson

arxiv:0912.5094 v1 · 2009-12-27 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRU6AGR6E7G4XBFC7FM675BZYP}

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	2026-05-18T02:38:18.681047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c69e01a3e27cdcb84a2f959eff439c3dba84e5666d4b742e377acc1e3c2bdc4

Aliases

arxiv: 0912.5094 · arxiv_version: 0912.5094v1 · doi: 10.48550/arxiv.0912.5094 · pith_short_12: JRU6AGR6E7G4 · pith_short_16: JRU6AGR6E7G4XBFC · pith_short_8: JRU6AGR6

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/JRU6AGR6E7G4XBFC7FM675BZYP \
  | 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: 4c69e01a3e27cdcb84a2f959eff439c3dba84e5666d4b742e377acc1e3c2bdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5ac66a3d6be5c6da5b2eabe225747dee9875c3271238fed23fd90150efcf07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-12-27T17:48:04Z",
    "title_canon_sha256": "0b72c07153eb978d5a5a1b4f1af851a530fac730ea1b6e78f104ab8bb12b1b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5094",
    "kind": "arxiv",
    "version": 1
  }
}