Pith Number

pith:AVKLQZZ5

pith:2013:AVKLQZZ5Y45MFFYBQJ3NJWBH7A

not attested not anchored not stored refs pending

Factoring euclidean isometries

Jon McCammond, Noel Brady

arxiv:1312.7780 v1 · 2013-12-30 · 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{AVKLQZZ5Y45MFFYBQJ3NJWBH7A}

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	2026-05-18T03:03:33.734073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0554b8673dc73ac297018276d4d827f8277457728d73979776ab5d7a1acf4f6d

Aliases

arxiv: 1312.7780 · arxiv_version: 1312.7780v1 · doi: 10.48550/arxiv.1312.7780 · pith_short_12: AVKLQZZ5Y45M · pith_short_16: AVKLQZZ5Y45MFFYB · pith_short_8: AVKLQZZ5

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/AVKLQZZ5Y45MFFYBQJ3NJWBH7A \
  | 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: 0554b8673dc73ac297018276d4d827f8277457728d73979776ab5d7a1acf4f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b6723adca1fc41beacadc07637e932461941958c65b36c0082b3e8c8e0290a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-30T17:03:16Z",
    "title_canon_sha256": "3e6adb2b07a75dfb0a42c1f23cc879ae264bfd70546285b1211d5ae12a8d2023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7780",
    "kind": "arxiv",
    "version": 1
  }
}