Pith Number

pith:T2ZKFV3A

pith:2011:T2ZKFV3ATCS3YKUAWY4PX3F6WC

not attested not anchored not stored refs pending

A protocol for a message system for the tiles of the heptagrid, in the hyperbolic plane

Maurice Margenstern

arxiv:1103.5119 v1 · 2011-03-26 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2ZKFV3ATCS3YKUAWY4PX3F6WC}

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	2026-05-18T04:25:38.601255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb2a2d76098a5bc2a80b638fbecbeb09e5283a8ae606ef170aafdeaa957874b

Aliases

arxiv: 1103.5119 · arxiv_version: 1103.5119v1 · doi: 10.48550/arxiv.1103.5119 · pith_short_12: T2ZKFV3ATCS3 · pith_short_16: T2ZKFV3ATCS3YKUA · pith_short_8: T2ZKFV3A

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/T2ZKFV3ATCS3YKUAWY4PX3F6WC \
  | 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: 9eb2a2d76098a5bc2a80b638fbecbeb09e5283a8ae606ef170aafdeaa957874b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2831303067d006b54ff7db6f6894672e3dedb333eecc7a62293349215a97e0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-03-26T10:12:40Z",
    "title_canon_sha256": "6962b8dce1807d697f83eb23e48cfc0e34e41d3c1636501f5c55eff12230f12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5119",
    "kind": "arxiv",
    "version": 1
  }
}