pith. sign in
Pith Number

pith:4HEAL2W6

pith:1999:4HEAL2W647TVUWYIZQQXPOOJH5
not attested not anchored not stored refs pending

Phase transition in quantum gravity

Sebastian Jaimungal, Viqar Husain

arxiv:gr-qc/9908056 v1 · 1999-08-19 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4HEAL2W647TVUWYIZQQXPOOJH5}

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 2026-05-18T01:06:44.020008Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1c805eadee7e75a5b08cc2177b9c93f532ebd0f25c29f8e1643bc20e947b311

Aliases

arxiv: gr-qc/9908056 · arxiv_version: gr-qc/9908056v1 · doi: 10.48550/arxiv.gr-qc/9908056 · pith_short_12: 4HEAL2W647TV · pith_short_16: 4HEAL2W647TVUWYI · pith_short_8: 4HEAL2W6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HEAL2W647TVUWYIZQQXPOOJH5 \
  | 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: e1c805eadee7e75a5b08cc2177b9c93f532ebd0f25c29f8e1643bc20e947b311
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e05d85fada9b4011f97bfd1abf2b5bd531443d8f49b3eb0d872b6c84083e9bd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-08-19T21:16:43Z",
    "title_canon_sha256": "58c3b08aa1b016eb2520bb5d69699c4f98fadce40375f90bd4f8d174e4784037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9908056",
    "kind": "arxiv",
    "version": 1
  }
}