Pith Number

pith:E3SQPPVS

pith:2016:E3SQPPVSLOMHQALLOYJEIHWLFD

not attested not anchored not stored refs pending

Aspherical Photon and Anti-Photon Surfaces

C. M. Warnick, G. W. Gibbons

arxiv:1609.01673 v2 · 2016-09-06 · 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{E3SQPPVSLOMHQALLOYJEIHWLFD}

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	2026-05-18T01:01:22.183546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e507beb25b9878016b7612441ecb28fab19c23e65ce5b66a1c7a2e99be3f9e

Aliases

arxiv: 1609.01673 · arxiv_version: 1609.01673v2 · doi: 10.48550/arxiv.1609.01673 · pith_short_12: E3SQPPVSLOMH · pith_short_16: E3SQPPVSLOMHQALL · pith_short_8: E3SQPPVS

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/E3SQPPVSLOMHQALLOYJEIHWLFD \
  | 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: 26e507beb25b9878016b7612441ecb28fab19c23e65ce5b66a1c7a2e99be3f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62be0a679885c0a7a1c848691128ae1a92a620401c34e33924f367a01245b29f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-06T17:54:28Z",
    "title_canon_sha256": "94f3f4df1096bd12405cb7f9ad5f4e940086987399913f609fd863be4be52d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01673",
    "kind": "arxiv",
    "version": 2
  }
}