Pith Number

pith:VR5D37BO

pith:2016:VR5D37BOSKPDTTQUNJADYOA6B5

not attested not anchored not stored refs pending

The decay of the $SU(2)$ Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data

Dietrich H\"afner, Sari Ghanem

arxiv:1604.04477 v2 · 2016-04-15 · 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{VR5D37BOSKPDTTQUNJADYOA6B5}

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	2026-05-18T00:54:36.896578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7a3dfc2e929e39ce146a403c381e0f4a3a0ab73bda3a8383aea9e15f06cb60

Aliases

arxiv: 1604.04477 · arxiv_version: 1604.04477v2 · doi: 10.48550/arxiv.1604.04477 · pith_short_12: VR5D37BOSKPD · pith_short_16: VR5D37BOSKPDTTQU · pith_short_8: VR5D37BO

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/VR5D37BOSKPDTTQUNJADYOA6B5 \
  | 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: ac7a3dfc2e929e39ce146a403c381e0f4a3a0ab73bda3a8383aea9e15f06cb60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1024b535226eb3ba724cbe84fdd700dd0d1014bec5372d50ffbf974075dc27",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-15T12:56:50Z",
    "title_canon_sha256": "d6740bfb71787f6085fed455b342d1b400fdeba58e1213b0fea930804f4ab037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04477",
    "kind": "arxiv",
    "version": 2
  }
}