Pith Number

pith:XD5UEUVH

pith:2003:XD5UEUVHK4GFRMUOWBTVPDN4Q6

not attested not anchored not stored refs pending

Wyman's solution, self-similarity and critical behaviour

F. I. Takakura, G. Oliveira-Neto

arxiv:gr-qc/0309099 v1 · 2003-09-19 · 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{XD5UEUVHK4GFRMUOWBTVPDN4Q6}

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	2026-05-18T01:39:22.893523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fb4252a7570c58b28eb067578dbc87abfe20482d007899b6a3d8c5a29744d8

Aliases

arxiv: gr-qc/0309099 · arxiv_version: gr-qc/0309099v1 · doi: 10.48550/arxiv.gr-qc/0309099 · pith_short_12: XD5UEUVHK4GF · pith_short_16: XD5UEUVHK4GFRMUO · pith_short_8: XD5UEUVH

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/XD5UEUVHK4GFRMUOWBTVPDN4Q6 \
  | 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: b8fb4252a7570c58b28eb067578dbc87abfe20482d007899b6a3d8c5a29744d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8deed579ae67f8f838770b6b4f250c72be3ffffa1916b0f34f8fa4391ca54d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-09-19T14:48:59Z",
    "title_canon_sha256": "307b9f800673302254e6b1a08bf147b20e075c5c0750d9b7af0e37f274a9877f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0309099",
    "kind": "arxiv",
    "version": 1
  }
}