Pith Number

pith:BQK3YNTN

pith:2014:BQK3YNTN5CTYPY7FHPBT4USGXI

not attested not anchored not stored refs pending

Free divisors on metric graphs

Marc Coppens

arxiv:1410.3114 v1 · 2014-10-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQK3YNTN5CTYPY7FHPBT4USGXI}

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	2026-05-18T02:40:17.005068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c15bc366de8a787e3e53bc33e5246ba0ca7f85ea43b01d63e44be738af80987

Aliases

arxiv: 1410.3114 · arxiv_version: 1410.3114v1 · doi: 10.48550/arxiv.1410.3114 · pith_short_12: BQK3YNTN5CTY · pith_short_16: BQK3YNTN5CTYPY7F · pith_short_8: BQK3YNTN

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/BQK3YNTN5CTYPY7FHPBT4USGXI \
  | 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: 0c15bc366de8a787e3e53bc33e5246ba0ca7f85ea43b01d63e44be738af80987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9015abd0df0bf7d1ededd5de486d5e001a4057d2f11fc3f7f66b14eeebc5356c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-12T16:38:50Z",
    "title_canon_sha256": "08ebf9432a797ae2c8ed96c4ce7d1fca8163585d98c38c7a8f263a4d7555fa26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3114",
    "kind": "arxiv",
    "version": 1
  }
}