Pith Number

pith:UJQGIV5M

pith:2017:UJQGIV5M6H7VBTJCY27N3M7IMN

not attested not anchored not stored refs pending

Real-normalized differentials: limits on stable curves

Chaya Norton, Igor Krichever, Samuel Grushevsky

arxiv:1703.07806 v2 · 2017-03-22 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJQGIV5M6H7VBTJCY27N3M7IMN}

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	2026-05-17T23:51:39.903177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2606457acf1ff50cd22c6beddb3e86361041757e263ff74162e515e799fe66a

Aliases

arxiv: 1703.07806 · arxiv_version: 1703.07806v2 · doi: 10.48550/arxiv.1703.07806 · pith_short_12: UJQGIV5M6H7V · pith_short_16: UJQGIV5M6H7VBTJC · pith_short_8: UJQGIV5M

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/UJQGIV5M6H7VBTJCY27N3M7IMN \
  | 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: a2606457acf1ff50cd22c6beddb3e86361041757e263ff74162e515e799fe66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca650a4d5c73bede2d705eda53c27ba5c31b189cd800fb77b702d5eb34f38a5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-22T18:20:09Z",
    "title_canon_sha256": "2016ff81e4e3fb0a6f97a4db9447fce1dd8c9bfb3faa5f64198d9775220ffb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07806",
    "kind": "arxiv",
    "version": 2
  }
}