Pith Number

pith:724QNE4N

pith:2011:724QNE4N776CYF5XGRIE7H2EDJ

not attested not anchored not stored refs pending

On an efficient induction step with Nklt(X,D)

Meng Chen

arxiv:1112.4348 v2 · 2011-12-19 · 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{724QNE4N776CYF5XGRIE7H2EDJ}

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	2026-05-18T03:45:33.381479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb906938dfffc2c17b734504f9f441a5bb83d395066cd946c108d8be297b7da

Aliases

arxiv: 1112.4348 · arxiv_version: 1112.4348v2 · doi: 10.48550/arxiv.1112.4348 · pith_short_12: 724QNE4N776C · pith_short_16: 724QNE4N776CYF5X · pith_short_8: 724QNE4N

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/724QNE4N776CYF5XGRIE7H2EDJ \
  | 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: feb906938dfffc2c17b734504f9f441a5bb83d395066cd946c108d8be297b7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22eb372ec9a00994bfcc886ebeb0004244776c85ebb23c12678fb5c8363e775a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-19T14:30:19Z",
    "title_canon_sha256": "f27788826e92830b39416976e710c846e7354b28ab45d99cf33d0c5ac7c74041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4348",
    "kind": "arxiv",
    "version": 2
  }
}