Pith Number

pith:2TPAFDK4

pith:2016:2TPAFDK4NCGDK6EN2JLOXBD2P7

not attested not anchored not stored refs pending

Group cubization (with an appendix by Mikael Pichot)

Damian Osajda

arxiv:1605.06915 v2 · 2016-05-23 · 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{2TPAFDK4NCGDK6EN2JLOXBD2P7}

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	2026-05-18T00:15:24.834937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4de028d5c688c35788dd256eb847a7fc2a5d7ab8ba798d88ed8db23b5bb55c2

Aliases

arxiv: 1605.06915 · arxiv_version: 1605.06915v2 · doi: 10.48550/arxiv.1605.06915 · pith_short_12: 2TPAFDK4NCGD · pith_short_16: 2TPAFDK4NCGDK6EN · pith_short_8: 2TPAFDK4

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/2TPAFDK4NCGDK6EN2JLOXBD2P7 \
  | 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: d4de028d5c688c35788dd256eb847a7fc2a5d7ab8ba798d88ed8db23b5bb55c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb088abfbe9a7fd1cbcd79a9e2b1c8b4d5026a39817a7b350b6d1062404f222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-23T07:18:27Z",
    "title_canon_sha256": "40a0abd2b105e2c190e053ad73d56d2f2859a81d8398f2cd81dfd8075097b998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06915",
    "kind": "arxiv",
    "version": 2
  }
}