Pith Number

pith:777HFBTS

pith:2001:777HFBTSHEZGJLTMGW3MF3C53J

not attested not anchored not stored refs pending

A Weil-Barsotti formula for Drinfeld modules

Matthew A. Papanikolas, Niranjan Ramachandran

arxiv:math/0107150 v2 · 2001-07-20 · math.AG · 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{777HFBTSHEZGJLTMGW3MF3C53J}

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	2026-05-18T01:37:47.806961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fffe728672393264ae6c35b6c2ec5dda7700ed033084b6f8a9a7cbec80b890b9

Aliases

arxiv: math/0107150 · arxiv_version: math/0107150v2 · doi: 10.48550/arxiv.math/0107150 · pith_short_12: 777HFBTSHEZG · pith_short_16: 777HFBTSHEZGJLTM · pith_short_8: 777HFBTS

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/777HFBTSHEZGJLTMGW3MF3C53J \
  | 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: fffe728672393264ae6c35b6c2ec5dda7700ed033084b6f8a9a7cbec80b890b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4699153b918a01f3d9f8569188923594fe0786cc044b8a717b3502cf18958492",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-07-20T16:34:29Z",
    "title_canon_sha256": "631ceaca571ef35fb9f2b7f59acc3f60a4910c71e6bd431791fe9194f83d59ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107150",
    "kind": "arxiv",
    "version": 2
  }
}