Pith Number

pith:FFQGN47K

pith:2007:FFQGN47KZLOAVGC72YEAFVGCSR

not attested not anchored not stored refs pending

Limits of PGL(3)-translates of plane curves, II

Carel Faber, Paolo Aluffi

arxiv:0706.1304 v4 · 2007-06-09 · 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{FFQGN47KZLOAVGC72YEAFVGCSR}

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	2026-05-18T03:58:14.406222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296066f3eacadc0a985fd60802d4c29473ccb9d99f83a06ca2f59aee679208a3

Aliases

arxiv: 0706.1304 · arxiv_version: 0706.1304v4 · doi: 10.48550/arxiv.0706.1304 · pith_short_12: FFQGN47KZLOA · pith_short_16: FFQGN47KZLOAVGC7 · pith_short_8: FFQGN47K

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/FFQGN47KZLOAVGC72YEAFVGCSR \
  | 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: 296066f3eacadc0a985fd60802d4c29473ccb9d99f83a06ca2f59aee679208a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df88413ac6977d60defbb321fb07aa90a8fa02aab939519bcd8e1676f19dbcdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-09T11:57:45Z",
    "title_canon_sha256": "7a315a0425e6c5e36d80a506a4a2a05a2842335ffdba8e910b32416c9bd94c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1304",
    "kind": "arxiv",
    "version": 4
  }
}