Pith Number

pith:DZZ2NEPO

pith:2013:DZZ2NEPO4WHU7RTTVCVJXG3MOI

not attested not anchored not stored refs pending

On ordinary crystals with logarithmic poles

Jeng-Daw Yu

arxiv:1310.1226 v1 · 2013-10-04 · 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{DZZ2NEPO4WHU7RTTVCVJXG3MOI}

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	2026-05-18T03:11:23.225348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e73a691eee58f4fc673a8aa9b9b6c721ec435b196badb84587fd06cdd7efe65

Aliases

arxiv: 1310.1226 · arxiv_version: 1310.1226v1 · doi: 10.48550/arxiv.1310.1226 · pith_short_12: DZZ2NEPO4WHU · pith_short_16: DZZ2NEPO4WHU7RTT · pith_short_8: DZZ2NEPO

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/DZZ2NEPO4WHU7RTTVCVJXG3MOI \
  | 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: 1e73a691eee58f4fc673a8aa9b9b6c721ec435b196badb84587fd06cdd7efe65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91cf3b056fdeca414879b99b3921fddb06b369fb784c5b2f2ee538950e229790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-04T11:25:26Z",
    "title_canon_sha256": "e679396ece2e63be532d395f77e5bff61d8a9d1eee33e3378bf65ad8da91b7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1226",
    "kind": "arxiv",
    "version": 1
  }
}