Pith Number

pith:E5PGS7VQ

pith:2012:E5PGS7VQL2SPIS6RLDNHIFMOPP

not attested not anchored not stored refs pending

Graphic lambda calculus and knot diagrams

Marius Buliga

arxiv:1211.1604 v1 · 2012-11-07 · math.GT · cs.LO · 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{E5PGS7VQL2SPIS6RLDNHIFMOPP}

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	2026-05-18T03:41:20.641770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275e697eb05ea4f44bd158da74158e7be2e40e5fca0cc087b559c6598cfe0c8b

Aliases

arxiv: 1211.1604 · arxiv_version: 1211.1604v1 · doi: 10.48550/arxiv.1211.1604 · pith_short_12: E5PGS7VQL2SP · pith_short_16: E5PGS7VQL2SPIS6R · pith_short_8: E5PGS7VQ

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/E5PGS7VQL2SPIS6RLDNHIFMOPP \
  | 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: 275e697eb05ea4f44bd158da74158e7be2e40e5fca0cc087b559c6598cfe0c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150fff7ed8ae2d0967a74586de42847e266cdc3be784c0564fdb946e130930cb",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-07T17:04:10Z",
    "title_canon_sha256": "2a10126dec5e82ae0d3fa7b651b192125bcc9f72dc0667d638184f065ac4b883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1604",
    "kind": "arxiv",
    "version": 1
  }
}