Pith Number

pith:GHQWMTMO

pith:2004:GHQWMTMOKVYZYPDYE2D2IF2EFJ

not attested not anchored not stored refs pending

Remarks on syzygies of $d$-gonal curves

Marian Aprodu

arxiv:math/0412134 v3 · 2004-12-07 · 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{GHQWMTMOKVYZYPDYE2D2IF2EFJ}

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	2026-05-18T03:06:52.381179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e1664d8e55719c3c782687a417442a47938b2526fb997da0b0786bd2f746cd

Aliases

arxiv: math/0412134 · arxiv_version: math/0412134v3 · doi: 10.48550/arxiv.math/0412134 · pith_short_12: GHQWMTMOKVYZ · pith_short_16: GHQWMTMOKVYZYPDY · pith_short_8: GHQWMTMO

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/GHQWMTMOKVYZYPDYE2D2IF2EFJ \
  | 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: 31e1664d8e55719c3c782687a417442a47938b2526fb997da0b0786bd2f746cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c79aed87928757dbb089b53a3dcca16cd25e4854f8cbafca57fc2cf6d728ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-12-07T11:55:04Z",
    "title_canon_sha256": "9559290fbd30429f7c75988d776947e304cd1a2e8da42d222d1037a0ebd5fb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412134",
    "kind": "arxiv",
    "version": 3
  }
}