Pith Number

pith:TCTNDLH7

pith:2010:TCTNDLH7QVCTYQ3HOAEAHQCSQ6

not attested not anchored not stored refs pending

Unbreakable Loops

Louis Marchand, Martin Beaudry

arxiv:1009.0487 v1 · 2010-09-02 · 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{TCTNDLH7QVCTYQ3HOAEAHQCSQ6}

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	2026-05-18T04:41:26.518915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a6d1acff85453c4367700803c05287bbb22233315ad9b6429b93f42c7101ed

Aliases

arxiv: 1009.0487 · arxiv_version: 1009.0487v1 · doi: 10.48550/arxiv.1009.0487 · pith_short_12: TCTNDLH7QVCT · pith_short_16: TCTNDLH7QVCTYQ3H · pith_short_8: TCTNDLH7

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/TCTNDLH7QVCTYQ3HOAEAHQCSQ6 \
  | 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: 98a6d1acff85453c4367700803c05287bbb22233315ad9b6429b93f42c7101ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b4f91cb4e7680c3135a20e61152c137a46cd00216e86314d393db62490658e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-02T17:49:18Z",
    "title_canon_sha256": "6e726b86eb5a3ef34b24c0cdee5e6cd1855d740620fc67554f813c7e8b94c16e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0487",
    "kind": "arxiv",
    "version": 1
  }
}