Pith Number

pith:GKMWWNF5

pith:2011:GKMWWNF5X5JZRZ46ZINPDUAXE6

not attested not anchored not stored refs pending

Pencils on real curves

Johannes Huisman, Marc Coppens

arxiv:1107.4998 v1 · 2011-07-25 · 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{GKMWWNF5X5JZRZ46ZINPDUAXE6}

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	2026-05-18T04:16:54.071192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32996b34bdbf5398e79eca1af1d01727a1fba972b43ffc2a433c083a865279f5

Aliases

arxiv: 1107.4998 · arxiv_version: 1107.4998v1 · doi: 10.48550/arxiv.1107.4998 · pith_short_12: GKMWWNF5X5JZ · pith_short_16: GKMWWNF5X5JZRZ46 · pith_short_8: GKMWWNF5

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/GKMWWNF5X5JZRZ46ZINPDUAXE6 \
  | 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: 32996b34bdbf5398e79eca1af1d01727a1fba972b43ffc2a433c083a865279f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11035e565129b096a51f5359713fe57ef9c873f43191b3707db22596ac9abbef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-25T16:51:17Z",
    "title_canon_sha256": "c0589d7e74b40b277b3382854709f3378defef836743617bca231148a9c47c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4998",
    "kind": "arxiv",
    "version": 1
  }
}