Pith Number

pith:VWTXYXIZ

pith:1999:VWTXYXIZHVUIVRTLTPVAY2IQKX

not attested not anchored not stored refs pending

Coble Rational Surfaces

D. -Q. Zhang, I. Dolgachev

arxiv:math/9909135 v1 · 1999-09-23 · 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{VWTXYXIZHVUIVRTLTPVAY2IQKX}

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	2026-05-18T00:12:57.452438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada77c5d193d688ac66b9bea0c691055d5896c476272a5b96f45205a0c63a74b

Aliases

arxiv: math/9909135 · arxiv_version: math/9909135v1 · doi: 10.48550/arxiv.math/9909135 · pith_short_12: VWTXYXIZHVUI · pith_short_16: VWTXYXIZHVUIVRTL · pith_short_8: VWTXYXIZ

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/VWTXYXIZHVUIVRTLTPVAY2IQKX \
  | 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: ada77c5d193d688ac66b9bea0c691055d5896c476272a5b96f45205a0c63a74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359d94c6c80d738f6140cfc55780b000cc462faa00743355a635924243801b72",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-09-23T07:07:51Z",
    "title_canon_sha256": "5b269274eafa8624457ad5afe2d9217f30f4d7664b0aeaeb1f27cd3fb9b7e79c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909135",
    "kind": "arxiv",
    "version": 1
  }
}