Pith Number

pith:CLH7M72Z

pith:2017:CLH7M72ZVXRTOABLRBS5XGAEZI

not attested not anchored not stored refs pending

Modality of representations

Vladimir L. Popov

arxiv:1707.07720 v1 · 2017-07-24 · math.RT · math.AG · 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{CLH7M72ZVXRTOABLRBS5XGAEZI}

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	2026-05-18T00:39:30.616001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12cff67f59ade337002b8865db9804ca3abc45e360f3d7d73e1dfa9f16dba931

Aliases

arxiv: 1707.07720 · arxiv_version: 1707.07720v1 · doi: 10.48550/arxiv.1707.07720 · pith_short_12: CLH7M72ZVXRT · pith_short_16: CLH7M72ZVXRTOABL · pith_short_8: CLH7M72Z

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/CLH7M72ZVXRTOABLRBS5XGAEZI \
  | 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: 12cff67f59ade337002b8865db9804ca3abc45e360f3d7d73e1dfa9f16dba931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e043e1719fc2af5b03fe08ac04e05a374cf3e31b16cca0b73822da5dc1a507",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-24T19:39:26Z",
    "title_canon_sha256": "f50b9fe987aa5f495a3ebc4b7349ebc96dc9ca7f0e20906e99263daa16e5c43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07720",
    "kind": "arxiv",
    "version": 1
  }
}