Pith Number

pith:J2M7HNIX

pith:2015:J2M7HNIXBOEXEJHHS3AI6ELEPP

not attested not anchored not stored refs pending

On linear equations arising in Combinatorics (Part II)

Masood Aryapoor

arxiv:1508.07315 v1 · 2015-08-28 · 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{J2M7HNIXBOEXEJHHS3AI6ELEPP}

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	2026-05-18T01:34:36.341541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e99f3b5170b897224e796c08f11647bf725ded2e63f0fd0cb71e76ebe5b72b8

Aliases

arxiv: 1508.07315 · arxiv_version: 1508.07315v1 · doi: 10.48550/arxiv.1508.07315 · pith_short_12: J2M7HNIXBOEX · pith_short_16: J2M7HNIXBOEXEJHH · pith_short_8: J2M7HNIX

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/J2M7HNIXBOEXEJHHS3AI6ELEPP \
  | 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: 4e99f3b5170b897224e796c08f11647bf725ded2e63f0fd0cb71e76ebe5b72b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315ad6f2ae04a85b538fb9fdfce224d24bef3c38473e3adc2c134c13071e7a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-28T19:35:09Z",
    "title_canon_sha256": "56adf61fd35100c95d8e4c60a57b55e36b82546a604164f5118ee5cb3192e486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07315",
    "kind": "arxiv",
    "version": 1
  }
}