Pith Number

pith:HBOG3SL3

pith:2007:HBOG3SL3JVEXGRJTK2D4JM4CGV

not attested not anchored not stored refs pending

F-thresholds of hypersurfaces

Karen Smith, Manuel Blickle, Mircea Musta\c{t}\v{a}

arxiv:0705.1210 v3 · 2007-05-09 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBOG3SL3JVEXGRJTK2D4JM4CGV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:28:30.286510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385c6dc97b4d497345335687c4b3823551d0db312f5e1814e315315a77ba3490

Aliases

arxiv: 0705.1210 · arxiv_version: 0705.1210v3 · doi: 10.48550/arxiv.0705.1210 · pith_short_12: HBOG3SL3JVEX · pith_short_16: HBOG3SL3JVEXGRJT · pith_short_8: HBOG3SL3

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/HBOG3SL3JVEXGRJTK2D4JM4CGV \
  | 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: 385c6dc97b4d497345335687c4b3823551d0db312f5e1814e315315a77ba3490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12f6c87f04ef6da0cbbbe2db744071f239c1db089b0ecba448472dc4104305f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-09T06:32:58Z",
    "title_canon_sha256": "8b66f2d78a2f14b559d4b2898505da70dc539417c89cfb653aba969ab9811880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1210",
    "kind": "arxiv",
    "version": 3
  }
}