Pith Number

pith:FGJ4BNV2

pith:2013:FGJ4BNV2CD5HT4YVHITHUOFSV7

not attested not anchored not stored refs pending

An Example of an Automatic Graph of Intermediate Growth

Alexei Miasnikov, Dmytro Savchuk

arxiv:1312.3710 v2 · 2013-12-13 · 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{FGJ4BNV2CD5HT4YVHITHUOFSV7}

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	2026-05-18T02:26:53.039107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2993c0b6ba10fa79f3153a267a38b2afd21ee95bee459453b1780947016b2e4f

Aliases

arxiv: 1312.3710 · arxiv_version: 1312.3710v2 · doi: 10.48550/arxiv.1312.3710 · pith_short_12: FGJ4BNV2CD5H · pith_short_16: FGJ4BNV2CD5HT4YV · pith_short_8: FGJ4BNV2

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/FGJ4BNV2CD5HT4YVHITHUOFSV7 \
  | 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: 2993c0b6ba10fa79f3153a267a38b2afd21ee95bee459453b1780947016b2e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecbc234bba2384cca644b438e6454108fb1fd206b5cbdc8cea669ee45993aea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-13T05:44:24Z",
    "title_canon_sha256": "5dd10b8eedcf7d009301b2721459dadf766726d4cf634803371231b8c05bbbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3710",
    "kind": "arxiv",
    "version": 2
  }
}