Pith Number

pith:F67UGMGC

pith:2021:F67UGMGCT673WCOMDZGDLMBTSL

not attested not anchored not stored refs pending

Price's law for spin fields on a Schwarzschild background

Lin Zhang, Siyuan Ma

arxiv:2104.13809 v4 · 2021-04-28 · math.AP · 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{F67UGMGCT673WCOMDZGDLMBTSL}

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	2026-07-05T06:27:37.085598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbf4330c29fbfbb09cc1e4c35b03392f27e1c3568585a38499a8ab348cb18a3

Aliases

arxiv: 2104.13809 · arxiv_version: 2104.13809v4 · doi: 10.48550/arxiv.2104.13809 · pith_short_12: F67UGMGCT673 · pith_short_16: F67UGMGCT673WCOM · pith_short_8: F67UGMGC

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/F67UGMGCT673WCOMDZGDLMBTSL \
  | 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: 2fbf4330c29fbfbb09cc1e4c35b03392f27e1c3568585a38499a8ab348cb18a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b933804c318710a67a6668a947449474f0992104777ed1ff694ceaddcb5382",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-28T14:57:28Z",
    "title_canon_sha256": "e4e6edd30afceed6ce927290348a5b081c540c47c1f3802578e0a6e92eee7398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13809",
    "kind": "arxiv",
    "version": 4
  }
}