Pith Number

pith:DGWSCGAC

pith:2005:DGWSCGAC4W2UGJK2JNAIRITZP2

not attested not anchored not stored refs pending

Symmetric obstruction theories and Hilbert schemes of points on threefolds

Barbara Fantechi, Kai Behrend

arxiv:math/0512556 v1 · 2005-12-24 · 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{DGWSCGAC4W2UGJK2JNAIRITZP2}

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	2026-07-04T14:52:17.522125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ad211802e5b543255a4b4088a2797e8d8988baf57fbc7529d882c1123b158f

Aliases

arxiv: math/0512556 · arxiv_version: math/0512556v1 · doi: 10.48550/arxiv.math/0512556 · pith_short_12: DGWSCGAC4W2U · pith_short_16: DGWSCGAC4W2UGJK2 · pith_short_8: DGWSCGAC

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/DGWSCGAC4W2UGJK2JNAIRITZP2 \
  | 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: 19ad211802e5b543255a4b4088a2797e8d8988baf57fbc7529d882c1123b158f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682737174b3eb4935eecfd2561102b92601c8e27d4b91808426899c233e69be2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-12-24T02:02:44Z",
    "title_canon_sha256": "3440a3c15339f1f2762a443ef0f71cf201e0f82c1037b99a2151d7a417448121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512556",
    "kind": "arxiv",
    "version": 1
  }
}