Pith Number

pith:D5XO2YQ7

pith:2015:D5XO2YQ7IL2BPVREI4GLP2NAMB

not attested not anchored not stored refs pending

Zigzag diagrams and Martin boundary

Pierre Tarrago

arxiv:1501.07087 v2 · 2015-01-28 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5XO2YQ7IL2BPVREI4GLP2NAMB}

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	2026-05-18T00:05:14.940291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6eed621f42f417d624470cb7e9a060625efc0a5b1dac672ea69debebbb05c4

Aliases

arxiv: 1501.07087 · arxiv_version: 1501.07087v2 · doi: 10.48550/arxiv.1501.07087 · pith_short_12: D5XO2YQ7IL2B · pith_short_16: D5XO2YQ7IL2BPVRE · pith_short_8: D5XO2YQ7

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/D5XO2YQ7IL2BPVREI4GLP2NAMB \
  | 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: 1f6eed621f42f417d624470cb7e9a060625efc0a5b1dac672ea69debebbb05c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35abb8ada74272cb4145440483218a4f7b1406a0562d2bf6d82b68cab9753920",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-28T12:50:22Z",
    "title_canon_sha256": "a22d74faf511171ed3b00612bacca7a6026b080304edb0b90158cbaf3378162b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07087",
    "kind": "arxiv",
    "version": 2
  }
}