Pith Number

pith:37NORZTG

pith:2003:37NORZTG3Z4QU5XL5B5LBW3ITN

not attested not anchored not stored refs pending

Hecke curves and Hitchin discriminant

Jun-Muk Hwang, S. Ramanan

arxiv:math/0309056 v2 · 2003-09-03 · 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{37NORZTG3Z4QU5XL5B5LBW3ITN}

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	2026-05-18T01:05:28.671306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfdae8e666de790a76ebe87ab0db689b71dbbe44d841c00befa2639e503feaa7

Aliases

arxiv: math/0309056 · arxiv_version: math/0309056v2 · doi: 10.48550/arxiv.math/0309056 · pith_short_12: 37NORZTG3Z4Q · pith_short_16: 37NORZTG3Z4QU5XL · pith_short_8: 37NORZTG

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/37NORZTG3Z4QU5XL5B5LBW3ITN \
  | 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: dfdae8e666de790a76ebe87ab0db689b71dbbe44d841c00befa2639e503feaa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb0bed3580685b9f6dee555fec29ca247f80c3768dc2b14d56ef09c390a490e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-09-03T09:48:36Z",
    "title_canon_sha256": "fde17086615631e301ea9f9d1dcd1c3e522660628a95734f851a1b578a0a6342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309056",
    "kind": "arxiv",
    "version": 2
  }
}