Pith Number

pith:R2SIT35Z

pith:2008:R2SIT35ZIHXJSQT3MF5TKCSBWV

not attested not anchored not stored refs pending

A counterexample to the a-'theorem'

Alfred D. Shapere, Yuji Tachikawa

arxiv:0809.3238 v3 · 2008-09-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2SIT35ZIHXJSQT3MF5TKCSBWV}

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	2026-05-18T02:53:16.084298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea489efb941ee99427b617b350a41b54b34ef520ed41810bc16db1500b209bb

Aliases

arxiv: 0809.3238 · arxiv_version: 0809.3238v3 · doi: 10.48550/arxiv.0809.3238 · pith_short_12: R2SIT35ZIHXJ · pith_short_16: R2SIT35ZIHXJSQT3 · pith_short_8: R2SIT35Z

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/R2SIT35ZIHXJSQT3MF5TKCSBWV \
  | 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: 8ea489efb941ee99427b617b350a41b54b34ef520ed41810bc16db1500b209bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba655cf6788b9f2ef3eee5575ba37ffa18933aebd4a6746492b22974d90e145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-09-19T16:31:05Z",
    "title_canon_sha256": "7414d40e932af4bf63179b232eab67af88555dee2b387f8614be73b98f19ac8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3238",
    "kind": "arxiv",
    "version": 3
  }
}