Pith Number

pith:GXKTTYTR

pith:2000:GXKTTYTRGXRJL7LNRVFUTTND7V

not attested not anchored not stored refs pending

Mass neutrino flavor evolution in spacetime with torsion

C.M. Zhang

arxiv:gr-qc/0012027 v1 · 2000-12-06 · 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{GXKTTYTRGXRJL7LNRVFUTTND7V}

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	2026-05-18T04:13:27.086343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d539e27135e295fd6d8d4b49cda3fd4f3fab5ab21b41b51cfdc1b8c6cd794c

Aliases

arxiv: gr-qc/0012027 · arxiv_version: gr-qc/0012027v1 · doi: 10.48550/arxiv.gr-qc/0012027 · pith_short_12: GXKTTYTRGXRJ · pith_short_16: GXKTTYTRGXRJL7LN · pith_short_8: GXKTTYTR

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/GXKTTYTRGXRJL7LNRVFUTTND7V \
  | 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: 35d539e27135e295fd6d8d4b49cda3fd4f3fab5ab21b41b51cfdc1b8c6cd794c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e249a69ad9d35c4013c166730f2c39cd929228127b4301ea2976f71584cc38e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-06T15:14:55Z",
    "title_canon_sha256": "424fb8f3c4604608bf312f6ad42549ae054424de0be92c1e9af0da5b1cf0266c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012027",
    "kind": "arxiv",
    "version": 1
  }
}