Pith Number

pith:J65ROHUH

pith:1997:J65ROHUH77AW5TC4OIPPVPNPQC

not attested not anchored not stored refs pending

Vector Bundles over Elliptic Fibrations

Edward Witten, John W. Morgan, Robert Friedman

arxiv:alg-geom/9709029 v1 · 1997-09-26 · 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{J65ROHUH77AW5TC4OIPPVPNPQC}

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	2026-07-04T15:08:09.647101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fbb171e87ffc16ecc5c721efabdaf80a8646df02ac451a177a38b465c6ca6e6

Aliases

arxiv: alg-geom/9709029 · arxiv_version: alg-geom/9709029v1 · doi: 10.48550/arxiv.alg-geom/9709029 · pith_short_12: J65ROHUH77AW · pith_short_16: J65ROHUH77AW5TC4 · pith_short_8: J65ROHUH

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/J65ROHUH77AW5TC4OIPPVPNPQC \
  | 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: 4fbb171e87ffc16ecc5c721efabdaf80a8646df02ac451a177a38b465c6ca6e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a47bb4b4c708eabe05ec9dffedaa31545e7fe0bd75bc50e0ea57f85f5620788",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-09-26T17:11:47Z",
    "title_canon_sha256": "e6e71ce8cc1d1c2ce320520566f3ad7be11545b7b3acad7f88d4889938ce6aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9709029",
    "kind": "arxiv",
    "version": 1
  }
}