Pith Number

pith:HFLBTM44

pith:2005:HFLBTM44QFEVPHIIKAIQVSGDBD

not attested not anchored not stored refs pending

Small-amplitude nonlinear waves on a black hole background

Igor Rodnianski, Mihalis Dafermos

arxiv:math/0503024 v1 · 2005-03-01 · 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{HFLBTM44QFEVPHIIKAIQVSGDBD}

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	2026-05-18T04:11:07.506457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395619b39c8149579d0850110ac8c308f574629860c7fa26bef123f0cede5354

Aliases

arxiv: math/0503024 · arxiv_version: math/0503024v1 · doi: 10.48550/arxiv.math/0503024 · pith_short_12: HFLBTM44QFEV · pith_short_16: HFLBTM44QFEVPHII · pith_short_8: HFLBTM44

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/HFLBTM44QFEVPHIIKAIQVSGDBD \
  | 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: 395619b39c8149579d0850110ac8c308f574629860c7fa26bef123f0cede5354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6369014b182bf1c78de335241993c90a869dc5b0db1529d4b161c931dce487f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-03-01T20:51:02Z",
    "title_canon_sha256": "8b08339521ab3fde796a48699512a3390371513bd66835c65e55f477efd30a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503024",
    "kind": "arxiv",
    "version": 1
  }
}