Pith Number

pith:XY7YX35E

pith:2026:XY7YX35E3SQXPZ2VROKADHTENR

not attested not anchored not stored refs pending

Four-Fermion Condensates in Curved Spacetimes: A Functional Approach

Heliudson Bernardo, Jiatong Yan, Stephon Alexander

arxiv:2608.07907 v1 · 2026-08-08 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY7YX35E3SQXPZ2VROKADHTENR}

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	2026-08-11T01:18:54.013198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3f8befa4dca177e7558b94019e646c6529f1edf7e8b96380986312240ec1f0

Aliases

arxiv: 2608.07907 · arxiv_version: 2608.07907v1 · doi: 10.48550/arxiv.2608.07907 · pith_short_12: XY7YX35E3SQX · pith_short_16: XY7YX35E3SQXPZ2V · pith_short_8: XY7YX35E

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/XY7YX35E3SQXPZ2VROKADHTENR \
  | 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: be3f8befa4dca177e7558b94019e646c6529f1edf7e8b96380986312240ec1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb32c70a813bbd7021c335b93b4c667bd7544cded40f7e5c3d99e10cea6fe3d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-08T04:17:25Z",
    "title_canon_sha256": "a7ad41cf8deb025631f43349e97f832c8589657ad813be95b5145b5724d5b3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07907",
    "kind": "arxiv",
    "version": 1
  }
}