Pith Number

pith:2AHR5FF5

pith:2026:2AHR5FF5YU6CJD2RCXO6SH47RH

not attested not anchored not stored refs pending

Ghosts Hunting in the Yang-Mills Vacuum

Seth Grable

arxiv:2607.07954 v1 · 2026-07-08 · hep-th · 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{2AHR5FF5YU6CJD2RCXO6SH47RH}

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	2026-07-10T00:19:05.827096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d00f1e94bdc53c248f5115dde91f9f89d0328afa1004a9543004c2f9104d1e41

Aliases

arxiv: 2607.07954 · arxiv_version: 2607.07954v1 · doi: 10.48550/arxiv.2607.07954 · pith_short_12: 2AHR5FF5YU6C · pith_short_16: 2AHR5FF5YU6CJD2R · pith_short_8: 2AHR5FF5

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/2AHR5FF5YU6CJD2RCXO6SH47RH \
  | 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: d00f1e94bdc53c248f5115dde91f9f89d0328afa1004a9543004c2f9104d1e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f669678933b2e32504596999c4fe0547dabb7234ce583b39bd4179a6f8c4b286",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-08T22:20:51Z",
    "title_canon_sha256": "fc3be42c2ddc7eeff0fc615ce5d3cf067ebb5edf6801ba8d464c3b8c3a96d0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07954",
    "kind": "arxiv",
    "version": 1
  }
}