Pith Number

pith:MWEKGECE

pith:1999:MWEKGECEECXHVCQD36BYRUA43H

not attested not anchored not stored refs pending

A residue scalar product for algebraic function fields over a number field

Xian-Jin Li (AIM)

arxiv:math/9903195 v1 · 1999-03-21 · 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{MWEKGECEECXHVCQD36BYRUA43H}

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	2026-05-18T01:05:33.210789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6588a3104420ae7a8a03df8388d01cd9c4ec4caa1f68c1e8c94c4b0e27582f5b

Aliases

arxiv: math/9903195 · arxiv_version: math/9903195v1 · doi: 10.48550/arxiv.math/9903195 · pith_short_12: MWEKGECEECXH · pith_short_16: MWEKGECEECXHVCQD · pith_short_8: MWEKGECE

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/MWEKGECEECXHVCQD36BYRUA43H \
  | 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: 6588a3104420ae7a8a03df8388d01cd9c4ec4caa1f68c1e8c94c4b0e27582f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae48909426031a819f950650f5c3a327c3903c677cfc6448c8d5de8e75f5b4e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-03-21T00:00:00Z",
    "title_canon_sha256": "288e0dd99c6f7eb0a04d722890bbe79fc2f78bdf11443c631a855857c8cb4526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903195",
    "kind": "arxiv",
    "version": 1
  }
}