Pith Number

pith:NBNG5XND

pith:2009:NBNG5XNDZQGVFA4CCDER3ULFBR

not attested not anchored not stored refs pending

Emergent algebras

Marius Buliga

arxiv:0907.1520 v3 · 2009-07-09 · math.RA · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBNG5XNDZQGVFA4CCDER3ULFBR}

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	2026-05-18T04:07:52.869218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685a6edda3cc0d52838210c91dd1650c67da927e064d63c05308a47377111aaf

Aliases

arxiv: 0907.1520 · arxiv_version: 0907.1520v3 · doi: 10.48550/arxiv.0907.1520 · pith_short_12: NBNG5XNDZQGV · pith_short_16: NBNG5XNDZQGVFA4C · pith_short_8: NBNG5XND

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/NBNG5XNDZQGVFA4CCDER3ULFBR \
  | 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: 685a6edda3cc0d52838210c91dd1650c67da927e064d63c05308a47377111aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16fd1535f74dbb00a65ed9562f865544378e372fb664fac63a04cf01881523fc",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-07-09T12:24:45Z",
    "title_canon_sha256": "39156094e4ea55783350f5082fdfb5a5a458483228be5dea463ee1756e681842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1520",
    "kind": "arxiv",
    "version": 3
  }
}