Pith Number

pith:SFFAXGIV

pith:2021:SFFAXGIVT5W4DQJES7G2B7ECYA

not attested not anchored not stored refs pending

Bound on photon circular orbits in general relativity and beyond

Sumanta Chakraborty

arxiv:2111.04912 v1 · 2021-11-09 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFFAXGIVT5W4DQJES7G2B7ECYA}

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.

Cited by

1 paper in Pith

Traversable Wormholes with Spontaneous Symmetry Breaking

Receipt and verification

First computed	2026-07-05T03:30:19.372687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914a0b99159f6dc1c12497cda0fc82c00f68756032165a316fc42b812db540ba

Aliases

arxiv: 2111.04912 · arxiv_version: 2111.04912v1 · doi: 10.48550/arxiv.2111.04912 · pith_short_12: SFFAXGIVT5W4 · pith_short_16: SFFAXGIVT5W4DQJE · pith_short_8: SFFAXGIV

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/SFFAXGIVT5W4DQJES7G2B7ECYA \
  | 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: 914a0b99159f6dc1c12497cda0fc82c00f68756032165a316fc42b812db540ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1911f3b4319d43adf667d2ca596cde21dace8242e8fd646c40ced6eb67b1d1d2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-09T02:24:37Z",
    "title_canon_sha256": "f4e67d385a410b388a710fae7d31650577492ba2fa261f51e036c6d3ee295ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04912",
    "kind": "arxiv",
    "version": 1
  }
}