Pith Number

pith:TMIKIG2H

pith:2012:TMIKIG2H3ELX5DYKN56TGBJ72C

not attested not anchored not stored refs pending

Boundary clustered layers near the higher critical exponents

Angela Pistoia, M\'onica Clapp, Nils Ackermann

arxiv:1211.2364 v1 · 2012-11-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMIKIG2H3ELX5DYKN56TGBJ72C}

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	2026-05-18T02:57:53.188710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b10a41b47d9177e8f0a6f7d33053fd0bbd5d3ac678cad60729f430a10249160

Aliases

arxiv: 1211.2364 · arxiv_version: 1211.2364v1 · doi: 10.48550/arxiv.1211.2364 · pith_short_12: TMIKIG2H3ELX · pith_short_16: TMIKIG2H3ELX5DYK · pith_short_8: TMIKIG2H

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/TMIKIG2H3ELX5DYKN56TGBJ72C \
  | 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: 9b10a41b47d9177e8f0a6f7d33053fd0bbd5d3ac678cad60729f430a10249160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6620621efa234226e236f06522cd70158661e1cacff4db089e2287d9b8ace94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-11T01:25:16Z",
    "title_canon_sha256": "e6ae6be5ba0226ceb476ac38ec7da9e025c39bbf33081867b8653e8195e2b46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2364",
    "kind": "arxiv",
    "version": 1
  }
}