Pith Number

pith:HVK6KV5X

pith:2001:HVK6KV5XI3JXXWYBVXCJHO3LV3

not attested not anchored not stored refs pending

On the vanishing of higher syzygies of curves

Marian Aprodu

arxiv:math/0110120 v1 · 2001-10-11 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVK6KV5XI3JXXWYBVXCJHO3LV3}

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	2026-05-18T03:06:52.417557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d55e557b746d37bdb01adc493bb6baed837e67563c862a59de19cab8ffab61b

Aliases

arxiv: math/0110120 · arxiv_version: math/0110120v1 · doi: 10.48550/arxiv.math/0110120 · pith_short_12: HVK6KV5XI3JX · pith_short_16: HVK6KV5XI3JXXWYB · pith_short_8: HVK6KV5X

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/HVK6KV5XI3JXXWYBVXCJHO3LV3 \
  | 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: 3d55e557b746d37bdb01adc493bb6baed837e67563c862a59de19cab8ffab61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8954dc344036ef739029ac8d4f9a061e898caae28333c9a0383473a702e7186b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-11T15:59:24Z",
    "title_canon_sha256": "76168ffbeebfe4d469edce6db1240cc968acdc5f450e6dcc440adf14d09f93d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110120",
    "kind": "arxiv",
    "version": 1
  }
}