Pith Number

pith:HY4J34B5

pith:2016:HY4J34B5PCYGVW2Z36LO2B2VNA

not attested not anchored not stored refs pending

On linear equations arising in Combinatorics (Part III)

Masood Aryapoor

arxiv:1606.07878 v1 · 2016-06-25 · 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{HY4J34B5PCYGVW2Z36LO2B2VNA}

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	2026-05-18T01:11:54.234707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e389df03d78b06adb59df96ed0755681614c5e37166dc0063f38358876d857d

Aliases

arxiv: 1606.07878 · arxiv_version: 1606.07878v1 · doi: 10.48550/arxiv.1606.07878 · pith_short_12: HY4J34B5PCYG · pith_short_16: HY4J34B5PCYGVW2Z · pith_short_8: HY4J34B5

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/HY4J34B5PCYGVW2Z36LO2B2VNA \
  | 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: 3e389df03d78b06adb59df96ed0755681614c5e37166dc0063f38358876d857d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9501eb032664e40bad5143c662cb1a1debe0b86dc9bddfbedb5039d097b2455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-25T07:47:33Z",
    "title_canon_sha256": "e6cf055c2e77022980d43efe912f6c7babc6474153370f94dbc44ee8b86d86dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07878",
    "kind": "arxiv",
    "version": 1
  }
}