Pith Number

pith:SUCDMXYD

pith:2014:SUCDMXYDAHBMXQJWKOMVWTEZXJ

not attested not anchored not stored refs pending

The Dehn function of Sp(2n;Z)

David Bruce Cohen

arxiv:1404.7412 v2 · 2014-04-29 · 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{SUCDMXYDAHBMXQJWKOMVWTEZXJ}

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	2026-05-18T02:51:14.635975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9504365f0301c2cbc13653995b4c99ba75e5ac6b2c42e82cf054e9a697ab9eac

Aliases

arxiv: 1404.7412 · arxiv_version: 1404.7412v2 · doi: 10.48550/arxiv.1404.7412 · pith_short_12: SUCDMXYDAHBM · pith_short_16: SUCDMXYDAHBMXQJW · pith_short_8: SUCDMXYD

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/SUCDMXYDAHBMXQJWKOMVWTEZXJ \
  | 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: 9504365f0301c2cbc13653995b4c99ba75e5ac6b2c42e82cf054e9a697ab9eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18be137a42dc8d4785549d5630e188d7673298a078f5c7ed333d150d5a361a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-29T16:01:08Z",
    "title_canon_sha256": "8a3a300c90eed66ba8e95dc330eea44554f47c44f27972f5ed5a6dbb333ed188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7412",
    "kind": "arxiv",
    "version": 2
  }
}