Pith Number

pith:Q4CWYXG6

pith:2015:Q4CWYXG6CIJWMM3VGYGYV66BJT

not attested not anchored not stored refs pending

Cosmology and Quantum Field Theory II: Study of an extended Nambu-Jona-Lasinio model with a Dynamical Coupling

Axel de la Macorra, Leonardo Quintanar G.

arxiv:1511.07368 v1 · 2015-11-23 · gr-qc · astro-ph.CO · 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{Q4CWYXG6CIJWMM3VGYGYV66BJT}

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	2026-05-18T01:26:11.528724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87056c5cde1213663375360d8afbc14cc78da04b2d4fc6f76693dfdb856d03d4

Aliases

arxiv: 1511.07368 · arxiv_version: 1511.07368v1 · doi: 10.48550/arxiv.1511.07368 · pith_short_12: Q4CWYXG6CIJW · pith_short_16: Q4CWYXG6CIJWMM3V · pith_short_8: Q4CWYXG6

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/Q4CWYXG6CIJWMM3VGYGYV66BJT \
  | 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: 87056c5cde1213663375360d8afbc14cc78da04b2d4fc6f76693dfdb856d03d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7ac89363b99e719d00f673eb76329aaa62ddb197821bee59cd3975231e9fe2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-23T19:08:45Z",
    "title_canon_sha256": "9321c134cf3032149635491e98a4dce0d9e06f6c61fa6fdc502514900cf4c006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07368",
    "kind": "arxiv",
    "version": 1
  }
}