Pith Number

pith:O5SL4Y3Y

pith:2013:O5SL4Y3YBUKQXJQVKZQR5HD7QJ

not attested not anchored not stored refs pending

The theory of ordinal length

Hans Schoutens

arxiv:1309.6694 v1 · 2013-09-25 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5SL4Y3YBUKQXJQVKZQR5HD7QJ}

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	2026-05-18T03:12:10.823048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7764be63780d150ba61556611e9c7f8260979f9aad65c8a9c9d7e512d0b80d2a

Aliases

arxiv: 1309.6694 · arxiv_version: 1309.6694v1 · doi: 10.48550/arxiv.1309.6694 · pith_short_12: O5SL4Y3YBUKQ · pith_short_16: O5SL4Y3YBUKQXJQV · pith_short_8: O5SL4Y3Y

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/O5SL4Y3YBUKQXJQVKZQR5HD7QJ \
  | 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: 7764be63780d150ba61556611e9c7f8260979f9aad65c8a9c9d7e512d0b80d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec93339b05a58f341325cdab850d686f582a42941aa0ff451d6b06c93125bc32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-25T23:35:47Z",
    "title_canon_sha256": "d483faed58d27f2a613a010123822fe90d0979fff3188e88ce5241dac4e8f2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6694",
    "kind": "arxiv",
    "version": 1
  }
}