Pith Number

pith:QOGZ6D2S

pith:2014:QOGZ6D2SA6GLYP7BDLH7TGFVJI

not attested not anchored not stored refs pending

Divisors on graphs, orientations, syzygies, and system reliability

Fatemeh Mohammadi

arxiv:1405.7972 v3 · 2014-05-30 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOGZ6D2SA6GLYP7BDLH7TGFVJI}

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	2026-05-18T01:30:49.283313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838d9f0f52078cbc3fe11acff998b54a16cd1d9879a000643fe14577b2745010

Aliases

arxiv: 1405.7972 · arxiv_version: 1405.7972v3 · doi: 10.48550/arxiv.1405.7972 · pith_short_12: QOGZ6D2SA6GL · pith_short_16: QOGZ6D2SA6GLYP7B · pith_short_8: QOGZ6D2S

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/QOGZ6D2SA6GLYP7BDLH7TGFVJI \
  | 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: 838d9f0f52078cbc3fe11acff998b54a16cd1d9879a000643fe14577b2745010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b8f91641194cc553e1649467e866251bc101692f632557de3a4a77d87d339b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-30T19:52:40Z",
    "title_canon_sha256": "87eb2dcc4cd372f51ea3ef2eb7ee4acaa4a2718599aeeffa8b382d1c48fe4c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7972",
    "kind": "arxiv",
    "version": 3
  }
}