Pith Number

pith:3FMPDAOY

pith:2026:3FMPDAOY65SGXKOTSZ7W5W6ISB

not attested not anchored not stored refs pending

Photon spheres in dynamical space-times

\'Angel Rinc\'on, David D\'iaz-Guerra, Diego Rubiera-Garcia

arxiv:2606.01916 v1 · 2026-06-01 · 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{3FMPDAOY65SGXKOTSZ7W5W6ISB}

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	2026-06-02T02:05:00.446101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d958f181d8f7646ba9d3967f6edbc890564a26c45f0289bc18c45c2e6254b95e

Aliases

arxiv: 2606.01916 · arxiv_version: 2606.01916v1 · doi: 10.48550/arxiv.2606.01916 · pith_short_12: 3FMPDAOY65SG · pith_short_16: 3FMPDAOY65SGXKOT · pith_short_8: 3FMPDAOY

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/3FMPDAOY65SGXKOTSZ7W5W6ISB \
  | 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: d958f181d8f7646ba9d3967f6edbc890564a26c45f0289bc18c45c2e6254b95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf100798ddf095142ef8f89197e35fcfb34f22e44ec3a1b72f3094a257fc9c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-01T08:51:23Z",
    "title_canon_sha256": "3354a40fa76553cb1bb9c8eb31eeb1bacd7083450364ebf647db78654ccda9de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01916",
    "kind": "arxiv",
    "version": 1
  }
}