Pith Number

pith:GRQHSGGW

pith:2015:GRQHSGGWIFHFU4HKRAWFKO5IIS

not attested not anchored not stored refs pending

On Extension of Regular Graphs

Anirban Banerjee, Saptarshi Bej

arxiv:1509.05476 v1 · 2015-09-17 · 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{GRQHSGGWIFHFU4HKRAWFKO5IIS}

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	2026-05-18T01:32:43.082471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34607918d6414e5a70ea882c553ba84490dfe498122dd21ecfce2980d28f272b

Aliases

arxiv: 1509.05476 · arxiv_version: 1509.05476v1 · doi: 10.48550/arxiv.1509.05476 · pith_short_12: GRQHSGGWIFHF · pith_short_16: GRQHSGGWIFHFU4HK · pith_short_8: GRQHSGGW

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/GRQHSGGWIFHFU4HKRAWFKO5IIS \
  | 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: 34607918d6414e5a70ea882c553ba84490dfe498122dd21ecfce2980d28f272b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6419e5eb577b01b0e3a5d12a6120f4ea55819862ef99d8a5aebcd3ffcabda5a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T23:42:45Z",
    "title_canon_sha256": "e7cd60c3df6ed09ddf04e792dd9ad17b1fe3ca8fdbd6a56444a06ee4b5dcdec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05476",
    "kind": "arxiv",
    "version": 1
  }
}