Pith Number

pith:5A3BSTYI

pith:2016:5A3BSTYIKNDHV4NAWTJERVONWN

not attested not anchored not stored refs pending

The complexity of tropical graph homomorphisms

Ararat Harutyunyan, Florent Foucaud, Pavol Hell, Reza Naserasr, Sylvain Legay, Yannis Manoussakis

arxiv:1607.04777 v2 · 2016-07-16 · cs.DS · cs.DM · 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{5A3BSTYIKNDHV4NAWTJERVONWN}

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	2026-05-18T00:24:53.284518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e836194f0853467af1a0b4d248d5cdb35ce7b5ebe6b6d02729c77b9cee20b1d5

Aliases

arxiv: 1607.04777 · arxiv_version: 1607.04777v2 · doi: 10.48550/arxiv.1607.04777 · pith_short_12: 5A3BSTYIKNDH · pith_short_16: 5A3BSTYIKNDHV4NA · pith_short_8: 5A3BSTYI

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/5A3BSTYIKNDHV4NAWTJERVONWN \
  | 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: e836194f0853467af1a0b4d248d5cdb35ce7b5ebe6b6d02729c77b9cee20b1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9805e7513db99e7fb97a3691343a10562a74f73c1dc4f8fbdc0ead490e958e0e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-16T17:58:36Z",
    "title_canon_sha256": "29dc03d590b4b0dee96bae12276548dfde26c4bf15f88a9e056ddfe88becdac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04777",
    "kind": "arxiv",
    "version": 2
  }
}