Pith Number

pith:ILU4WN2B

pith:2013:ILU4WN2BXVTJVZJO46JNMRTSCR

not attested not anchored not stored refs pending

Amending the Vafa-Witten Theorem

Chuan Li, Qing Wang

arxiv:1301.7009 v2 · 2013-01-29 · hep-th · hep-ph · math-ph · math.MP · nucl-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{ILU4WN2BXVTJVZJO46JNMRTSCR}

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	2026-05-18T03:29:40.391763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e9cb3741bd669ae52ee792d64672145330dc68a537a600d73c8c5741e27bfe

Aliases

arxiv: 1301.7009 · arxiv_version: 1301.7009v2 · doi: 10.48550/arxiv.1301.7009 · pith_short_12: ILU4WN2BXVTJ · pith_short_16: ILU4WN2BXVTJVZJO · pith_short_8: ILU4WN2B

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/ILU4WN2BXVTJVZJO46JNMRTSCR \
  | 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: 42e9cb3741bd669ae52ee792d64672145330dc68a537a600d73c8c5741e27bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9de09461a992733b15df35d25dc9b55b3a223f44c8be5a66a2a9b924486e8c",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-29T18:19:03Z",
    "title_canon_sha256": "83d38cdb77931b55209474aca78dec8ad0a68fee884d22a31e4556c3254c3310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7009",
    "kind": "arxiv",
    "version": 2
  }
}