Pith Number

pith:5GP6LKUP

pith:2015:5GP6LKUPBVFELQFM2QK3HUJ2TM

not attested not anchored not stored refs pending

Strong spatial mixing in homomorphism spaces

Raimundo Brice\~no, Ronnie Pavlov

arxiv:1510.01453 v1 · 2015-10-06 · math.CO · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GP6LKUPBVFELQFM2QK3HUJ2TM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:30:56.883178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99fe5aa8f0d4a45c0acd415b3d13a9b1a29df359155848fe8d399782c051df5

Aliases

arxiv: 1510.01453 · arxiv_version: 1510.01453v1 · doi: 10.48550/arxiv.1510.01453 · pith_short_12: 5GP6LKUPBVFE · pith_short_16: 5GP6LKUPBVFELQFM · pith_short_8: 5GP6LKUP

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/5GP6LKUPBVFELQFM2QK3HUJ2TM \
  | 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: e99fe5aa8f0d4a45c0acd415b3d13a9b1a29df359155848fe8d399782c051df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4fb0f9c613611b3214b938468284a73ecae9f103b3a8bcebc66bf6026439959",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-06T06:58:57Z",
    "title_canon_sha256": "d7892fe7249cb683440660b3d3004d92a8a93ae1f49d698daea4078a98f8d74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01453",
    "kind": "arxiv",
    "version": 1
  }
}