Pith Number

pith:STYJVJUT

pith:1997:STYJVJUT57RDLXUJR56NFZJXSE

not attested not anchored not stored refs pending

Principal G-bundles over elliptic curves

Edward Witten, John W. Morgan, Robert Friedman

arxiv:alg-geom/9707004 v2 · 1997-07-07 · alg-geom · hep-th · 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{STYJVJUT57RDLXUJR56NFZJXSE}

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	2026-07-04T17:25:45.819021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f09aa693efe235de898f7cd2e537910c346b932a836d83b4b6b9c6826cc860

Aliases

arxiv: alg-geom/9707004 · arxiv_version: alg-geom/9707004v2 · doi: 10.48550/arxiv.alg-geom/9707004 · pith_short_12: STYJVJUT57RD · pith_short_16: STYJVJUT57RDLXUJ · pith_short_8: STYJVJUT

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/STYJVJUT57RDLXUJR56NFZJXSE \
  | 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: 94f09aa693efe235de898f7cd2e537910c346b932a836d83b4b6b9c6826cc860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c009c399215e39163ab3a8b564efcb5e98ffde1d286dccd538869a579351203",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-07-07T17:43:09Z",
    "title_canon_sha256": "faf1008a3a46ff6bceb34d52cc8c21a3e83a70d8c4e8e6902e647f1a69b5a6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9707004",
    "kind": "arxiv",
    "version": 2
  }
}