Pith Number

pith:G4476XSM

pith:2012:G4476XSMUD6O3WBK4HZ23OMGAJ

not attested not anchored not stored refs pending

Groups of virtual and welded links

Paolo Bellingeri (LMNO), Valeriy G. Bardakov (AOSSI)

arxiv:1204.3205 v1 · 2012-04-14 · math.GT · 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{G4476XSMUD6O3WBK4HZ23OMGAJ}

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	2026-05-18T03:57:52.271141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3739ff5e4ca0fcedd82ae1f3adb9860271220fe2eeb40475fde4f3df32d6a449

Aliases

arxiv: 1204.3205 · arxiv_version: 1204.3205v1 · doi: 10.48550/arxiv.1204.3205 · pith_short_12: G4476XSMUD6O · pith_short_16: G4476XSMUD6O3WBK · pith_short_8: G4476XSM

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/G4476XSMUD6O3WBK4HZ23OMGAJ \
  | 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: 3739ff5e4ca0fcedd82ae1f3adb9860271220fe2eeb40475fde4f3df32d6a449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d0b7e42f2558a7ce7cf1888afc68b2b581e8d8af05a825966f519653f85c48",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-14T20:21:02Z",
    "title_canon_sha256": "9f1ef7a31e063542aac11ce0dd80a3e80f2bcc0972ef5fc9f6f02307c6d6adca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3205",
    "kind": "arxiv",
    "version": 1
  }
}