Pith Number

pith:J5WXQSBX

pith:2017:J5WXQSBX2V4R6WOZEM53RPVBTE

not attested not anchored not stored refs pending

The Business of Height Pairings

James Lewis, Souvik Goswami

arxiv:1702.05861 v1 · 2017-02-20 · 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{J5WXQSBX2V4R6WOZEM53RPVBTE}

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	2026-05-18T00:50:25.093374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6d784837d5791f59d9233bb8bea1992e34c00260228191530d927191ef948f

Aliases

arxiv: 1702.05861 · arxiv_version: 1702.05861v1 · doi: 10.48550/arxiv.1702.05861 · pith_short_12: J5WXQSBX2V4R · pith_short_16: J5WXQSBX2V4R6WOZ · pith_short_8: J5WXQSBX

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/J5WXQSBX2V4R6WOZEM53RPVBTE \
  | 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: 4f6d784837d5791f59d9233bb8bea1992e34c00260228191530d927191ef948f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b28a051cdda82ecf2f4cf725bdab99a95392c06997130339b660c2cfd67c842",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-20T05:27:06Z",
    "title_canon_sha256": "ea08ae53f9b4c0adb8fcae2b7aa6408d5cc92193ee40983ea90378515d2f865f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05861",
    "kind": "arxiv",
    "version": 1
  }
}