Pith Number

pith:L5XLRMZQ

pith:2001:L5XLRMZQICBGT3PA42EBX76QKU

not attested not anchored not stored refs pending

How to explicitly introduce the Jaffe-Witten mass gap into the quantum Yang-Mills theory

V. Gogohia

arxiv:hep-ph/0109196 v1 · 2001-09-21 · hep-ph · 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{L5XLRMZQICBGT3PA42EBX76QKU}

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	2026-05-18T00:37:13.082614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f6eb8b330408269ede0e6881bffd05500e650003a5bd4b514d78dc4c2026fd8

Aliases

arxiv: hep-ph/0109196 · arxiv_version: hep-ph/0109196v1 · doi: 10.48550/arxiv.hep-ph/0109196 · pith_short_12: L5XLRMZQICBG · pith_short_16: L5XLRMZQICBGT3PA · pith_short_8: L5XLRMZQ

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/L5XLRMZQICBGT3PA42EBX76QKU \
  | 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: 5f6eb8b330408269ede0e6881bffd05500e650003a5bd4b514d78dc4c2026fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16f00e85653e7a7e6e45a969fcfe63558cf5b2f305da3e4b2fcf2e03d5f38b6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-21T13:36:35Z",
    "title_canon_sha256": "c56afa058e6eb040e418302d0925d47367e260073ab3884c84e24f5dbbb75476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109196",
    "kind": "arxiv",
    "version": 1
  }
}