Pith Number

pith:LNZAWAJO

pith:2013:LNZAWAJOSQ2NXFMLU2DRYWOEDH

not attested not anchored not stored refs pending

Distinguishing homomorphisms of infinite graphs

Anthony Bonato, Dejan Delic

arxiv:1309.0416 v1 · 2013-09-02 · 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{LNZAWAJOSQ2NXFMLU2DRYWOEDH}

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	2026-05-18T03:14:27.353775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b720b012e9434db958ba6871c59c419e8d2df7f4c1bdf05855e5050dbde5828

Aliases

arxiv: 1309.0416 · arxiv_version: 1309.0416v1 · doi: 10.48550/arxiv.1309.0416 · pith_short_12: LNZAWAJOSQ2N · pith_short_16: LNZAWAJOSQ2NXFML · pith_short_8: LNZAWAJO

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/LNZAWAJOSQ2NXFMLU2DRYWOEDH \
  | 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: 5b720b012e9434db958ba6871c59c419e8d2df7f4c1bdf05855e5050dbde5828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e63673b2cbe657855d765fa65d0f6d0ac1d64d37ea17c0749669f5b37e3310f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-02T14:18:45Z",
    "title_canon_sha256": "9ce050163e974f5cebd95370290fe5a3f9729d17411ce32ab346a79696380fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0416",
    "kind": "arxiv",
    "version": 1
  }
}