Pith Number

pith:LEJLUOY5

pith:2011:LEJLUOY56VPTRVCNC2MNU6ODNC

not attested not anchored not stored refs pending

Rapid Decay is Preserved by Graph Products

Derek F. Holt, Laura Ciobanu, Sarah Rees

arxiv:1110.6831 v1 · 2011-10-31 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEJLUOY56VPTRVCNC2MNU6ODNC}

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	2026-05-18T04:09:54.123867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5912ba3b1df55f38d44d1698da79c368b3ddef0468a342727f902af34fbef6f4

Aliases

arxiv: 1110.6831 · arxiv_version: 1110.6831v1 · doi: 10.48550/arxiv.1110.6831 · pith_short_12: LEJLUOY56VPT · pith_short_16: LEJLUOY56VPTRVCN · pith_short_8: LEJLUOY5

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/LEJLUOY56VPTRVCNC2MNU6ODNC \
  | 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: 5912ba3b1df55f38d44d1698da79c368b3ddef0468a342727f902af34fbef6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b11f62306e678e8e218f7fb34a03bc00cd85346f3d4253351ac88b9fb4e4fe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-31T15:29:05Z",
    "title_canon_sha256": "c653c5a852872aa6038ccf0fa19f2f8e56bd799b57b5bb8152dce5c69f54c891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6831",
    "kind": "arxiv",
    "version": 1
  }
}