Pith Number

pith:XBCFC2K7

pith:2015:XBCFC2K7NXRJ2ZPZ6GXESBSNM6

not attested not anchored not stored refs pending

On the power graphs which are Cayley graphs of some groups

A. K. Bhuniya, S. Mukherjee

arxiv:1507.05052 v1 · 2015-07-16 · math.CO

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

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	2026-05-18T01:36:42.032582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84451695f6de29d65f9f1ae49064d679a9c5951b8cfd43ad6a33f534b7571c3

Aliases

arxiv: 1507.05052 · arxiv_version: 1507.05052v1 · doi: 10.48550/arxiv.1507.05052 · pith_short_12: XBCFC2K7NXRJ · pith_short_16: XBCFC2K7NXRJ2ZPZ · pith_short_8: XBCFC2K7

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/XBCFC2K7NXRJ2ZPZ6GXESBSNM6 \
  | 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: b84451695f6de29d65f9f1ae49064d679a9c5951b8cfd43ad6a33f534b7571c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9778fe5c35f95f19fb30a9478e8a20d42b0c1b8e53f317aaa948d68ef35c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-16T07:34:21Z",
    "title_canon_sha256": "baa66359b0a7add8b3791d8f1a7c063a07ee311f1b943f6d071782577ace7cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05052",
    "kind": "arxiv",
    "version": 1
  }
}