Pith Number

pith:6D2ELPJS

pith:2013:6D2ELPJSFAHPUUBJEEQVM5SQGP

not attested not anchored not stored refs pending

Graph homomorphisms between trees

P\'eter Csikv\'ari, Zhicong Lin

arxiv:1307.6721 v1 · 2013-07-25 · 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{6D2ELPJSFAHPUUBJEEQVM5SQGP}

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	2026-05-18T03:17:34.873153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f445bd32280efa5029212156765033e454fe581b545c285c00b109e233e930

Aliases

arxiv: 1307.6721 · arxiv_version: 1307.6721v1 · doi: 10.48550/arxiv.1307.6721 · pith_short_12: 6D2ELPJSFAHP · pith_short_16: 6D2ELPJSFAHPUUBJ · pith_short_8: 6D2ELPJS

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/6D2ELPJSFAHPUUBJEEQVM5SQGP \
  | 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: f0f445bd32280efa5029212156765033e454fe581b545c285c00b109e233e930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbbf74e7a7522b29d6d04215a91061aaf528b7056a6eaa2b02ce26e81df2726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-25T12:41:57Z",
    "title_canon_sha256": "32f64ef4482ad9ff29dd3451af59c191d2f1806652a8abc0e63591a1b0b8c834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6721",
    "kind": "arxiv",
    "version": 1
  }
}