Pith Number

pith:BYX2DCO6

pith:2014:BYX2DCO6RXDXMG4HPC6R7J525P

not attested not anchored not stored refs pending

On the Witt vector Frobenius

Christopher Davis, Kiran S. Kedlaya

arxiv:1409.7530 v1 · 2014-09-26 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYX2DCO6RXDXMG4HPC6R7J525P}

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	2026-05-18T02:28:20.542820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2fa189de8dc7761b8778bd1fa7baebf6475b0ffe719f021e57fb5a7830958c

Aliases

arxiv: 1409.7530 · arxiv_version: 1409.7530v1 · doi: 10.48550/arxiv.1409.7530 · pith_short_12: BYX2DCO6RXDX · pith_short_16: BYX2DCO6RXDXMG4H · pith_short_8: BYX2DCO6

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/BYX2DCO6RXDXMG4HPC6R7J525P \
  | 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: 0e2fa189de8dc7761b8778bd1fa7baebf6475b0ffe719f021e57fb5a7830958c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9220d34e407d8d95a53ddc39ed82a1353966d16b325c5c35d03c0d6b87aac54c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-26T10:45:57Z",
    "title_canon_sha256": "0311d193613e263950b666a365a3c0acc7652aed5b8dd101fd6aaccf1d547a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7530",
    "kind": "arxiv",
    "version": 1
  }
}