Pith Number

pith:2H6KHAFP

pith:2022:2H6KHAFPQXT6DBXZR3STLLDMGF

not attested not anchored not stored refs pending

First-order logic axiomatization of metric graph theory

Jeny Jacob, J\'er\'emie Chalopin, Manoj Changat, Victor Chepoi

arxiv:2203.01070 v1 · 2022-03-02 · math.CO · cs.DM · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2H6KHAFPQXT6DBXZR3STLLDMGF}

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.

Cited by

1 paper in Pith

$\alpha_i$-Metric Graphs: Hyperbolicity

Receipt and verification

First computed	2026-07-05T08:42:27.867973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fca380af85e7e186f98ee535ac6c314539b1e6054a4136307a12c114f863ea

Aliases

arxiv: 2203.01070 · arxiv_version: 2203.01070v1 · doi: 10.48550/arxiv.2203.01070 · pith_short_12: 2H6KHAFPQXT6 · pith_short_16: 2H6KHAFPQXT6DBXZ · pith_short_8: 2H6KHAFP

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/2H6KHAFPQXT6DBXZR3STLLDMGF \
  | 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: d1fca380af85e7e186f98ee535ac6c314539b1e6054a4136307a12c114f863ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144f297a304bf15ca4bdcc7662069bbb561ec40e296294fd1b53cff57456b2ea",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-02T12:43:27Z",
    "title_canon_sha256": "dd019d1dea519ed942a1b3cfa610067414fb4f521c3061e545d97b9b82cf0c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.01070",
    "kind": "arxiv",
    "version": 1
  }
}