Pith Number

pith:7NHR7P37

pith:2016:7NHR7P37ZZNGFO4C57O3UTU6E3

not attested not anchored not stored refs pending

The decomposition group of a line in the plane

Isac Hed\'en, Susanna Zimmermann

arxiv:1601.02725 v2 · 2016-01-12 · 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{7NHR7P37ZZNGFO4C57O3UTU6E3}

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	2026-05-18T01:16:14.797434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4f1fbf7fce5a62bb82efddba4e9e26fde4831dcff1d808c1ebf3f0094b0df1

Aliases

arxiv: 1601.02725 · arxiv_version: 1601.02725v2 · doi: 10.48550/arxiv.1601.02725 · pith_short_12: 7NHR7P37ZZNG · pith_short_16: 7NHR7P37ZZNGFO4C · pith_short_8: 7NHR7P37

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/7NHR7P37ZZNGFO4C57O3UTU6E3 \
  | 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: fb4f1fbf7fce5a62bb82efddba4e9e26fde4831dcff1d808c1ebf3f0094b0df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dfde1c71ca08c9cb78d315cb881c8cd2b8c4f53fccf7b54964a333eab6cc66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-12T04:22:04Z",
    "title_canon_sha256": "8ca1d6342f477bbc2d079806ad10499af8b76a446a779f6ec3d4b355569243f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02725",
    "kind": "arxiv",
    "version": 2
  }
}