Pith Number

pith:FI4W6IBS

pith:2015:FI4W6IBSA7SN7T5N2NZHY6R5FC

not attested not anchored not stored refs pending

A Universal Separable Diversity

Andr\'e Nies, David Bryant, Paul Tupper

arxiv:1509.07173 v3 · 2015-09-23 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FI4W6IBSA7SN7T5N2NZHY6R5FC}

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	2026-05-18T00:29:05.976879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a396f203207e4dfcfadd3727c7a3d28a8e975392be46fd01dd1d657c2dd0a6a

Aliases

arxiv: 1509.07173 · arxiv_version: 1509.07173v3 · doi: 10.48550/arxiv.1509.07173 · pith_short_12: FI4W6IBSA7SN · pith_short_16: FI4W6IBSA7SN7T5N · pith_short_8: FI4W6IBS

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/FI4W6IBSA7SN7T5N2NZHY6R5FC \
  | 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: 2a396f203207e4dfcfadd3727c7a3d28a8e975392be46fd01dd1d657c2dd0a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8291f0cfe1f06740e524f329381ae69f66bd7fe82ffc67d724eede532fc45bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-23T22:32:48Z",
    "title_canon_sha256": "e81601380e7e226e33b6c1934ff1bf8489bf6a0da34bd4d4dd36ea8a4573f13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07173",
    "kind": "arxiv",
    "version": 3
  }
}