Pith Number

pith:E2QEEAPP

pith:2021:E2QEEAPPX5GVTBKLINKJ3RP2HX

not attested not anchored not stored refs pending

Big bang as a topological quantum phase transition

F.R. Klinkhamer, G.E. Volovik

arxiv:2111.07962 v5 · 2021-11-15 · 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{E2QEEAPPX5GVTBKLINKJ3RP2HX}

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	2026-07-05T04:21:58.665271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a04201efbf4d59854b43549dc5fa3dcd7e79833981eaf1bbd8eb8406542567

Aliases

arxiv: 2111.07962 · arxiv_version: 2111.07962v5 · doi: 10.48550/arxiv.2111.07962 · pith_short_12: E2QEEAPPX5GV · pith_short_16: E2QEEAPPX5GVTBKL · pith_short_8: E2QEEAPP

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/E2QEEAPPX5GVTBKLINKJ3RP2HX \
  | 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: 26a04201efbf4d59854b43549dc5fa3dcd7e79833981eaf1bbd8eb8406542567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99efdd99561a18cb580ff139232475e332078702e9b4e396cad88de853545b05",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-15T18:18:48Z",
    "title_canon_sha256": "7db71af8280412405e760cb1e74e4011ccf221bf3c2a72548dd9a410e80af274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07962",
    "kind": "arxiv",
    "version": 5
  }
}