Pith Number

pith:7BJXF4PH

pith:2013:7BJXF4PHHAODQZT3XG6IM5IW6N

not attested not anchored not stored refs pending

Large time limit and local L^2-index theorems for families

Sara Azzali, Sebastian Goette, Thomas Schick

arxiv:1306.5659 v2 · 2013-06-24 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BJXF4PHHAODQZT3XG6IM5IW6N}

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	2026-05-18T01:36:51.853491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85372f1e7381c38667bb9bc867516f352e4b2a766f3921b756f0307818255f4

Aliases

arxiv: 1306.5659 · arxiv_version: 1306.5659v2 · doi: 10.48550/arxiv.1306.5659 · pith_short_12: 7BJXF4PHHAOD · pith_short_16: 7BJXF4PHHAODQZT3 · pith_short_8: 7BJXF4PH

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/7BJXF4PHHAODQZT3XG6IM5IW6N \
  | 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: f85372f1e7381c38667bb9bc867516f352e4b2a766f3921b756f0307818255f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0c2d2a8e6131bf605c06d03afe29ab264cd67fa0d7b9947f017ad02823c16e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-24T15:47:29Z",
    "title_canon_sha256": "2636e49b8858b9e5cc02ef137866c92034a3a29f2fb38d56e7c2926ab23fca47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5659",
    "kind": "arxiv",
    "version": 2
  }
}