Pith Number

pith:VTDDEGFL

pith:2001:VTDDEGFLBU33OEFQMSSTSD3B63

not attested not anchored not stored refs pending

Gauge invariance of the color-superconducting gap on the mass shell

D.H. Rischke, R.D. Pisarski

arxiv:nucl-th/0111070 v1 · 2001-11-24 · nucl-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTDDEGFLBU33OEFQMSSTSD3B63}

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	2026-07-04T16:28:43.069604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc63218ab0d37b710b064a5390f61f6fdc45035c1987fd05b227b2e1044f5a7

Aliases

arxiv: nucl-th/0111070 · arxiv_version: nucl-th/0111070v1 · doi: 10.48550/arxiv.nucl-th/0111070 · pith_short_12: VTDDEGFLBU33 · pith_short_16: VTDDEGFLBU33OEFQ · pith_short_8: VTDDEGFL

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/VTDDEGFLBU33OEFQMSSTSD3B63 \
  | 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: acc63218ab0d37b710b064a5390f61f6fdc45035c1987fd05b227b2e1044f5a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c624458e895b1789848250c495cd94e19ac5aecc2ce6579b88e5ea9788fee2",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2001-11-24T18:11:31Z",
    "title_canon_sha256": "57506bafb850df7f797a9fcd4891545d551efc56b1248ed37c3b3fe8fe05c640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0111070",
    "kind": "arxiv",
    "version": 1
  }
}