Pith Number

pith:YAE2F3NH

pith:1998:YAE2F3NHD5JNFYAO53BR7JNXXH

not attested not anchored not stored refs pending

The Eikonal Equation in Flat Space: Null Surfaces and Their Singularities I

E.T. Newman, G. Silva-Ortigoza, S. Frittelli

arxiv:gr-qc/9809019 v1 · 1998-09-03 · 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{YAE2F3NHD5JNFYAO53BR7JNXXH}

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	2026-05-18T01:39:18.377955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c009a2eda71f52d2e00eeec31fa5b7b9cbabf0da95094bc215b7a0074b41f395

Aliases

arxiv: gr-qc/9809019 · arxiv_version: gr-qc/9809019v1 · doi: 10.48550/arxiv.gr-qc/9809019 · pith_short_12: YAE2F3NHD5JN · pith_short_16: YAE2F3NHD5JNFYAO · pith_short_8: YAE2F3NH

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/YAE2F3NHD5JNFYAO53BR7JNXXH \
  | 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: c009a2eda71f52d2e00eeec31fa5b7b9cbabf0da95094bc215b7a0074b41f395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec7095194a415b63be76e5dbc99093e0e369aa562e59d83272591520306e1f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-03T18:50:39Z",
    "title_canon_sha256": "b15130ada03471fd223b2f574bec47fa1755a6a5b97e3defb7488312ceafd57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809019",
    "kind": "arxiv",
    "version": 1
  }
}