Pith Number

pith:H26EK2U2

pith:2026:H26EK2U2DQKPMGUGPCB4O53NIW

not attested not anchored not stored refs pending

A generalised cross-ratio and limits of local heights

Emre Can Sert\"oz, Hidde Lammert Bakker

arxiv:2607.06477 v1 · 2026-07-07 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H26EK2U2DQKPMGUGPCB4O53NIW}

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	2026-07-08T01:19:27.422016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebc456a9a1c14f61a867883c7776d459dbba9bd7d736409641170f780c4df88

Aliases

arxiv: 2607.06477 · arxiv_version: 2607.06477v1 · doi: 10.48550/arxiv.2607.06477 · pith_short_12: H26EK2U2DQKP · pith_short_16: H26EK2U2DQKPMGUG · pith_short_8: H26EK2U2

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/H26EK2U2DQKPMGUGPCB4O53NIW \
  | 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: 3ebc456a9a1c14f61a867883c7776d459dbba9bd7d736409641170f780c4df88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532a5d579bad70ce2f7daacd6dba24b48d873027f3d31de2e7c41d22f73f4b94",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-07T16:33:33Z",
    "title_canon_sha256": "2954a25f8dad341bab28653554af94d508e21bd346bde7e704801f41933c8c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06477",
    "kind": "arxiv",
    "version": 1
  }
}