Pith Number

pith:ZJRKDPXL

pith:2009:ZJRKDPXLV4MC5AEAKKMVJCA4GQ

not attested not anchored not stored refs pending

On surfaces with a canonical pencil

Roberto Pignatelli

arxiv:0909.0672 v2 · 2009-09-03 · 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{ZJRKDPXLV4MC5AEAKKMVJCA4GQ}

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	2026-05-18T04:38:17.420963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca62a1beebaf182e8080529954881c343baefe2c6ed7c6df619f799c08ec2b24

Aliases

arxiv: 0909.0672 · arxiv_version: 0909.0672v2 · doi: 10.48550/arxiv.0909.0672 · pith_short_12: ZJRKDPXLV4MC · pith_short_16: ZJRKDPXLV4MC5AEA · pith_short_8: ZJRKDPXL

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/ZJRKDPXLV4MC5AEAKKMVJCA4GQ \
  | 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: ca62a1beebaf182e8080529954881c343baefe2c6ed7c6df619f799c08ec2b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c56e7f8bf587a2345815096aed693ffbaa47510c37567fb4434211f2a28f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-03T14:45:12Z",
    "title_canon_sha256": "d4de957dc7ebccf04d61b2cd40b8863ec47eec8b3ce0f8fa365099198e902c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0672",
    "kind": "arxiv",
    "version": 2
  }
}