Pith Number

pith:4NEBSKQ7

pith:2025:4NEBSKQ7RUB4IKZRY6HRHCPNOF

not attested not anchored not stored refs pending

Orbits of photon in Bardeen-boson stars and their frozen states

Long-Xing Huang, Shi-Xian Sun, Yong-Qiang Wang, Yu-Peng Zhang, Zhen-hua Zhao

arxiv:2503.14984 v1 · 2025-03-19 · 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{4NEBSKQ7RUB4IKZRY6HRHCPNOF}

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	2026-07-05T10:34:28.998113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7

Aliases

arxiv: 2503.14984 · arxiv_version: 2503.14984v1 · doi: 10.48550/arxiv.2503.14984 · pith_short_12: 4NEBSKQ7RUB4 · pith_short_16: 4NEBSKQ7RUB4IKZR · pith_short_8: 4NEBSKQ7

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/4NEBSKQ7RUB4IKZRY6HRHCPNOF \
  | 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: e348192a1f8d03c42b31c78f1389ed7145a86389077f573544ab7a7dba9a74d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be87d6d7e8495acc7916cc765fb50950778b3f378d38954077fcb0c620842a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-19T08:29:20Z",
    "title_canon_sha256": "a32be39b3e155e17a7840235d4b4f0da52b6835cf51b10285e65d16c4470501b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.14984",
    "kind": "arxiv",
    "version": 1
  }
}