Pith Number

pith:76OYCTJB

pith:2015:76OYCTJB3N32ZHOWGLHSHQU4LR

not attested not anchored not stored refs pending

Chip-firing based methods in the Riemann--Roch theory of directed graphs

B\'alint Hujter, Lilla T\'othm\'er\'esz

arxiv:1511.03568 v4 · 2015-11-11 · 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{76OYCTJB3N32ZHOWGLHSHQU4LR}

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	2026-05-17T23:52:34.513052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9d814d21db77ac9dd632cf23c29c5c74a4071bc84d266fc20f4c6c615ab50f

Aliases

arxiv: 1511.03568 · arxiv_version: 1511.03568v4 · doi: 10.48550/arxiv.1511.03568 · pith_short_12: 76OYCTJB3N32 · pith_short_16: 76OYCTJB3N32ZHOW · pith_short_8: 76OYCTJB

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/76OYCTJB3N32ZHOWGLHSHQU4LR \
  | 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: ff9d814d21db77ac9dd632cf23c29c5c74a4071bc84d266fc20f4c6c615ab50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab5ec70f4498a6d46cc28bee16e4bf142b58d90f0feb3ea521fe235f494c0c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-11T16:48:03Z",
    "title_canon_sha256": "0c893ba1fb9d1caa5f61a8a0a7bf845eb5dc45e55b3f52debd2de37e56def482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03568",
    "kind": "arxiv",
    "version": 4
  }
}