Pith Number

pith:7RODBQ3Q

pith:2007:7RODBQ3QTO4CPVSRNRJKS5CCCF

not attested not anchored not stored refs pending

Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds

Andrzej Rostworowski, Piotr Bizo\'n, Tadeusz Chmaj

arxiv:0704.0993 v2 · 2007-04-07 · gr-qc · hep-th · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RODBQ3QTO4CPVSRNRJKS5CCCF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:37:23.072366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5c30c3709bb827d6516c52a974421176a3094ea6acd45811f351c83ddeaf5d

Aliases

arxiv: 0704.0993 · arxiv_version: 0704.0993v2 · doi: 10.48550/arxiv.0704.0993 · pith_short_12: 7RODBQ3QTO4C · pith_short_16: 7RODBQ3QTO4CPVSR · pith_short_8: 7RODBQ3Q

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/7RODBQ3QTO4CPVSRNRJKS5CCCF \
  | 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: fc5c30c3709bb827d6516c52a974421176a3094ea6acd45811f351c83ddeaf5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd3320e7d8bb59a2853d69d53538014c7c8d4a4f33760b6996ebd77fbbc86dd",
    "cross_cats_sorted": [
      "hep-th",
      "math.AP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-04-07T17:33:44Z",
    "title_canon_sha256": "fcbe67597715e008e4e9aa15536c8a09ceeffac9346edf2c08d251c5be71c0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0993",
    "kind": "arxiv",
    "version": 2
  }
}