Pith Number

pith:EGU4PPH6

pith:2010:EGU4PPH6HM3LG7B5APX4YHCDZ4

not attested not anchored not stored refs pending

On the second successive minimum of the Jacobian of a Riemann surface

Bjoern Muetzel

arxiv:1008.2233 v2 · 2010-08-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGU4PPH6HM3LG7B5APX4YHCDZ4}

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	2026-05-18T04:38:58.038026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a9c7bcfe3b36b37c3d03efcc1c43cf354230eb0f94a372936b0b6b1d1befcb

Aliases

arxiv: 1008.2233 · arxiv_version: 1008.2233v2 · doi: 10.48550/arxiv.1008.2233 · pith_short_12: EGU4PPH6HM3L · pith_short_16: EGU4PPH6HM3LG7B5 · pith_short_8: EGU4PPH6

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/EGU4PPH6HM3LG7B5APX4YHCDZ4 \
  | 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: 21a9c7bcfe3b36b37c3d03efcc1c43cf354230eb0f94a372936b0b6b1d1befcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9973629d59fa8333753e5d3df53b08a220a0cef787953ee3043feae9dbeaa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-12T23:59:21Z",
    "title_canon_sha256": "34f53d56e15d77c821e4e59cf2df976faa7c047eea3ccecdb5303f4d309f4051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2233",
    "kind": "arxiv",
    "version": 2
  }
}