Pith Number

pith:IV3BNUSE

pith:2016:IV3BNUSEAFPHZT4SNX25SDQIR7

not attested not anchored not stored refs pending

On some properties of enhanced power graph

A. K. Bhuniya, Sudip Bera

arxiv:1606.03209 v1 · 2016-06-10 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV3BNUSEAFPHZT4SNX25SDQIR7}

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	2026-05-18T01:11:58.792242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457616d244015e7ccf926df5d90e088fceac248727d214a854428112f2bc0b12

Aliases

arxiv: 1606.03209 · arxiv_version: 1606.03209v1 · doi: 10.48550/arxiv.1606.03209 · pith_short_12: IV3BNUSEAFPH · pith_short_16: IV3BNUSEAFPHZT4S · pith_short_8: IV3BNUSE

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/IV3BNUSEAFPHZT4SNX25SDQIR7 \
  | 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: 457616d244015e7ccf926df5d90e088fceac248727d214a854428112f2bc0b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262ea91454f2484570b9a0c13d551e0b0792b7b9ffc60eb25b770bdf28842f0e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-10T06:53:31Z",
    "title_canon_sha256": "08205211bf0a1cee14642cf61324928606c66e7595409df8b0274f0cb6683797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03209",
    "kind": "arxiv",
    "version": 1
  }
}