Pith Number

pith:TDQ7LEFE

pith:2014:TDQ7LEFECOWX7PUMJ4FXOETV7L

not attested not anchored not stored refs pending

On a theory of the $b$-function in positive characteristic

Thomas Bitoun

arxiv:1501.00185 v2 · 2014-12-31 · 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{TDQ7LEFECOWX7PUMJ4FXOETV7L}

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	2026-05-18T00:02:40.044961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e1f590a413ad7fbe8c4f0b771275fac4d949b8bb86eb64544c873e1fb49a55

Aliases

arxiv: 1501.00185 · arxiv_version: 1501.00185v2 · doi: 10.48550/arxiv.1501.00185 · pith_short_12: TDQ7LEFECOWX · pith_short_16: TDQ7LEFECOWX7PUM · pith_short_8: TDQ7LEFE

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/TDQ7LEFECOWX7PUMJ4FXOETV7L \
  | 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: 98e1f590a413ad7fbe8c4f0b771275fac4d949b8bb86eb64544c873e1fb49a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7def5f0621c46ca18e417fa5ad3bbe542a8a62de45af3088574c920163d9be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-31T18:06:34Z",
    "title_canon_sha256": "06b52b7d61f84810cb3b76710836578e9899a910224c96d3603e59dc28e9519f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00185",
    "kind": "arxiv",
    "version": 2
  }
}