Pith Number

pith:JZ6FFEG6

pith:2015:JZ6FFEG6TQ5FFAHZDCYTKS22MF

not attested not anchored not stored refs pending

On a strange invariant bilinear form on the space of automorphic forms

Jonathan Wang, Vladimir Drinfeld

arxiv:1503.04705 v4 · 2015-03-16 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ6FFEG6TQ5FFAHZDCYTKS22MF}

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	2026-05-18T01:03:12.074757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7c5290de9c3a5280f918b1354b5a616a91cfd6348c5d82d3da3d3b9674765d

Aliases

arxiv: 1503.04705 · arxiv_version: 1503.04705v4 · doi: 10.48550/arxiv.1503.04705 · pith_short_12: JZ6FFEG6TQ5F · pith_short_16: JZ6FFEG6TQ5FFAHZ · pith_short_8: JZ6FFEG6

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/JZ6FFEG6TQ5FFAHZDCYTKS22MF \
  | 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: 4e7c5290de9c3a5280f918b1354b5a616a91cfd6348c5d82d3da3d3b9674765d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dbcba52992970d8aad564c67fa0e0123d75ff8e4e75689a8645bbdec8f1ac17",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-16T16:08:39Z",
    "title_canon_sha256": "e3014569e8e86b96614f77779fe1f741fb63aca010396f4532bdd37bbae44883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04705",
    "kind": "arxiv",
    "version": 4
  }
}