Pith Number

pith:67XD263B

pith:2026:67XD263BP2AYEZ227GFWNE7TNM

not attested not anchored not stored refs pending

Formal Abel relations for curves in characteristic $p$

John B. Little

arxiv:2607.09471 v1 · 2026-07-10 · 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{67XD263BP2AYEZ227GFWNE7TNM}

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	2026-07-13T01:20:12.258681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ee3d7b617e8182675af98b6693f36b1d4df9304f2ac35e5be1e86a5c599bc6

Aliases

arxiv: 2607.09471 · arxiv_version: 2607.09471v1 · doi: 10.48550/arxiv.2607.09471 · pith_short_12: 67XD263BP2AY · pith_short_16: 67XD263BP2AYEZ22 · pith_short_8: 67XD263B

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/67XD263BP2AYEZ227GFWNE7TNM \
  | 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: f7ee3d7b617e8182675af98b6693f36b1d4df9304f2ac35e5be1e86a5c599bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af8539fd0de00273974d4cfdaa378987c156fd5c17252202e6a099271a9c64c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-10T14:44:00Z",
    "title_canon_sha256": "29db09ffab38d7b34ff8f9abf042c5924aa10816f7b5d5926f86e53129f62ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09471",
    "kind": "arxiv",
    "version": 1
  }
}