Pith Number

pith:FUCRFAP5

pith:2017:FUCRFAP54UUCXV3QRV5I75T6T4

not attested not anchored not stored refs pending

Scaling limits of Cayley graphs with polynomially growing balls

Matthew Tointon, Romain Tessera

arxiv:1711.08295 v2 · 2017-11-22 · math.GR · math.CO · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUCRFAP54UUCXV3QRV5I75T6T4}

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	2026-05-18T00:13:19.510033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d051281fde5282bd7708d7a8ff67e9f1068b177e17f6399c2e3756b7d6fa34d

Aliases

arxiv: 1711.08295 · arxiv_version: 1711.08295v2 · doi: 10.48550/arxiv.1711.08295 · pith_short_12: FUCRFAP54UUC · pith_short_16: FUCRFAP54UUCXV3Q · pith_short_8: FUCRFAP5

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/FUCRFAP54UUCXV3QRV5I75T6T4 \
  | 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: 2d051281fde5282bd7708d7a8ff67e9f1068b177e17f6399c2e3756b7d6fa34d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c593f350b100c19482beceff7a8d91fcd9469a27a9901481c93df06cb42c8194",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-22T14:34:58Z",
    "title_canon_sha256": "ce6aac3c3d11511aaecdcd30403c35d0ac591b55dbf146961ccaf8f1a59bde81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08295",
    "kind": "arxiv",
    "version": 2
  }
}