Pith Number

pith:NZRFXXCM

pith:2012:NZRFXXCMGYRJOKPWXPUJZJ3NYH

not attested not anchored not stored refs pending

Autoduality for curves of compact type

Eduardo Esteves, Fl\'avio Rocha

arxiv:1208.1436 v1 · 2012-08-07 · 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{NZRFXXCMGYRJOKPWXPUJZJ3NYH}

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	2026-05-18T03:49:12.472795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e625bdc4c36229729f6bbe89ca76dc1f81aec7fc05f96bb07e469165e3603f4

Aliases

arxiv: 1208.1436 · arxiv_version: 1208.1436v1 · doi: 10.48550/arxiv.1208.1436 · pith_short_12: NZRFXXCMGYRJ · pith_short_16: NZRFXXCMGYRJOKPW · pith_short_8: NZRFXXCM

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/NZRFXXCMGYRJOKPWXPUJZJ3NYH \
  | 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: 6e625bdc4c36229729f6bbe89ca76dc1f81aec7fc05f96bb07e469165e3603f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25622395aa0fb8f6dd5061be29186be34fb4d15f6f2472e04ef042b99d62a328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-07T14:47:48Z",
    "title_canon_sha256": "f2c3ce59b41e6cd1d3b0b61571b9f66b10bc2d2b1c1cfc6aefe11fac58e2032e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1436",
    "kind": "arxiv",
    "version": 1
  }
}