Pith Number

pith:HFGALLVM

pith:2016:HFGALLVMQ7JTI53NB3YNR5O7UH

not attested not anchored not stored refs pending

On the maximality of the triangular subgroup

Jean-Philippe Furter, Pierre-Marie Poloni

arxiv:1605.06344 v2 · 2016-05-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFGALLVMQ7JTI53NB3YNR5O7UH}

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	2026-05-18T00:46:55.720101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394c05aeac87d334776d0ef0d8f5dfa1ed8603a516ff2a34c0704b4db70feb81

Aliases

arxiv: 1605.06344 · arxiv_version: 1605.06344v2 · doi: 10.48550/arxiv.1605.06344 · pith_short_12: HFGALLVMQ7JT · pith_short_16: HFGALLVMQ7JTI53N · pith_short_8: HFGALLVM

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/HFGALLVMQ7JTI53NB3YNR5O7UH \
  | 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: 394c05aeac87d334776d0ef0d8f5dfa1ed8603a516ff2a34c0704b4db70feb81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4734c1ff967bd64a2dbf78df7fce9b9461a8d77cbd8c83c45b92d2c202052301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-20T13:19:32Z",
    "title_canon_sha256": "f61280b764716a4139a286ebc6713d52fb6778cfed5953150f72ea46e124a936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06344",
    "kind": "arxiv",
    "version": 2
  }
}