Pith Number

pith:O5IAX6VX

pith:2015:O5IAX6VXMU7LZJOXJX3OQSDLCH

not attested not anchored not stored refs pending

Approximate equivalence of actions

Andreas Aaserud, Sorin Popa

arxiv:1511.00307 v2 · 2015-11-01 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5IAX6VXMU7LZJOXJX3OQSDLCH}

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	2026-05-18T01:08:20.695816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77500bfab7653ebca5d74df6e8486b11dfd52f0613713b2fc5992cfae3a653c8

Aliases

arxiv: 1511.00307 · arxiv_version: 1511.00307v2 · doi: 10.48550/arxiv.1511.00307 · pith_short_12: O5IAX6VXMU7L · pith_short_16: O5IAX6VXMU7LZJOX · pith_short_8: O5IAX6VX

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/O5IAX6VXMU7LZJOXJX3OQSDLCH \
  | 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: 77500bfab7653ebca5d74df6e8486b11dfd52f0613713b2fc5992cfae3a653c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb15e8864730c7874cbff46629f594635acfcfe96399bc50120fbbcfa1a4a8ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-01T21:02:16Z",
    "title_canon_sha256": "d24f58d606e76e169c749e59e0b531fe952c2a05cd28075fdc55acabdd4864ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00307",
    "kind": "arxiv",
    "version": 2
  }
}