Pith Number

pith:XXIFWWHX

pith:2015:XXIFWWHX6JPETZ2TMTW6ME6BAP

not attested not anchored not stored refs pending

Ordinal Notations in Caucal Hierarchy

Fedor Pakhomov

arxiv:1512.05036 v1 · 2015-12-16 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXIFWWHX6JPETZ2TMTW6ME6BAP}

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	2026-05-18T01:24:13.676917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd05b58f7f25e49e75364ede613c103c93099e56b4f0c554304681baacf7fb2

Aliases

arxiv: 1512.05036 · arxiv_version: 1512.05036v1 · doi: 10.48550/arxiv.1512.05036 · pith_short_12: XXIFWWHX6JPE · pith_short_16: XXIFWWHX6JPETZ2T · pith_short_8: XXIFWWHX

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/XXIFWWHX6JPETZ2TMTW6ME6BAP \
  | 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: bdd05b58f7f25e49e75364ede613c103c93099e56b4f0c554304681baacf7fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b9abcface178c02920fd2b32d7bf296a8a86f7de02de30e2274333bbd2a7a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-16T03:22:53Z",
    "title_canon_sha256": "0b460c6a7a4605f9049805cc21705e2706d5c2aeac8ee858d51ca3e687e9f4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05036",
    "kind": "arxiv",
    "version": 1
  }
}