Pith Number

pith:SRUR2TZL

pith:2015:SRUR2TZLKLKPK3TRIF5CDDUWQI

not attested not anchored not stored refs pending

A generalisation of simple Harnack curves

Lionel Lang

arxiv:1504.07256 v3 · 2015-04-27 · 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{SRUR2TZLKLKPK3TRIF5CDDUWQI}

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	2026-05-17T23:45:53.775451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94691d4f2b52d4f56e71417a218e968227e03b70ec0fbed5a993ef50d95f16ac

Aliases

arxiv: 1504.07256 · arxiv_version: 1504.07256v3 · doi: 10.48550/arxiv.1504.07256 · pith_short_12: SRUR2TZLKLKP · pith_short_16: SRUR2TZLKLKPK3TR · pith_short_8: SRUR2TZL

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/SRUR2TZLKLKPK3TRIF5CDDUWQI \
  | 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: 94691d4f2b52d4f56e71417a218e968227e03b70ec0fbed5a993ef50d95f16ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae86d3f4d59709356a4cc6edbf39500883b36f1cbe79ad130fe36fb0cc094b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-27T20:05:36Z",
    "title_canon_sha256": "152caa35258fefb4656c2a108090462308f3fc944e28911d49e0ba9800045758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07256",
    "kind": "arxiv",
    "version": 3
  }
}