Pith Number

pith:PJMX43EF

pith:2015:PJMX43EFM24KJO7WJWHOOWQGRC

not attested not anchored not stored refs pending

From complexity to algebra and back: digraph classes, collapsibility and the PGP

Barnaby Martin, Catarina Carvalho, Florent Madelaine

arxiv:1501.04558 v2 · 2015-01-19 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJMX43EFM24KJO7WJWHOOWQGRC}

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	2026-05-18T02:14:17.076606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a597e6c8566b8a4bbf64d8ee75a068887d9d2be733da067306089701d738c0c

Aliases

arxiv: 1501.04558 · arxiv_version: 1501.04558v2 · doi: 10.48550/arxiv.1501.04558 · pith_short_12: PJMX43EFM24K · pith_short_16: PJMX43EFM24KJO7W · pith_short_8: PJMX43EF

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/PJMX43EFM24KJO7WJWHOOWQGRC \
  | 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: 7a597e6c8566b8a4bbf64d8ee75a068887d9d2be733da067306089701d738c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dec70fb17a437137a1ddd147d5e7cc6603a176126c2a55f3fca6de0de3edecd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-01-19T16:58:39Z",
    "title_canon_sha256": "164de20a24bb4213480009cff0c6fed8e90002fe111f869bf2f7e3124f1513ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04558",
    "kind": "arxiv",
    "version": 2
  }
}