Pith Number

pith:54YD5V2C

pith:2008:54YD5V2CJLKDDXYZALAU3NFUJC

not attested not anchored not stored refs pending

Profinite properties of graph manifolds

Henry Wilton, Pavel Zalesskii

arxiv:0807.3727 v3 · 2008-07-23 · 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{54YD5V2CJLKDDXYZALAU3NFUJC}

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	2026-05-18T03:49:20.153433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef303ed7424ad431df1902c14db4b44897d7423c210bfaadc7b013926758d777

Aliases

arxiv: 0807.3727 · arxiv_version: 0807.3727v3 · doi: 10.48550/arxiv.0807.3727 · pith_short_12: 54YD5V2CJLKD · pith_short_16: 54YD5V2CJLKDDXYZ · pith_short_8: 54YD5V2C

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/54YD5V2CJLKDDXYZALAU3NFUJC \
  | 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: ef303ed7424ad431df1902c14db4b44897d7423c210bfaadc7b013926758d777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e47229a948d36df2f3667d19d1943d9d203ad6a00de40109d98ae164ba0193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-07-23T18:31:53Z",
    "title_canon_sha256": "9e2c982116be6c14ce5b4e96dbdcc21cfe7de8319d304daddf67fdbab6edc490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3727",
    "kind": "arxiv",
    "version": 3
  }
}