Pith Number

pith:UOXAVQ37

pith:2012:UOXAVQ37J2P4HFYR35MPPL3ZXP

not attested not anchored not stored refs pending

Geodesic flows and their deformations in Bertrand spacetimes

Kaushik Bhattacharya, Prashant Kumar, Tapobrata Sarkar

arxiv:1208.5327 v2 · 2012-08-27 · 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{UOXAVQ37J2P4HFYR35MPPL3ZXP}

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	2026-05-18T03:40:15.878177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ae0ac37f4e9fc39711df58f7af79bbe1f0085c00b290ee3c78c76a1b4c65be

Aliases

arxiv: 1208.5327 · arxiv_version: 1208.5327v2 · doi: 10.48550/arxiv.1208.5327 · pith_short_12: UOXAVQ37J2P4 · pith_short_16: UOXAVQ37J2P4HFYR · pith_short_8: UOXAVQ37

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/UOXAVQ37J2P4HFYR35MPPL3ZXP \
  | 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: a3ae0ac37f4e9fc39711df58f7af79bbe1f0085c00b290ee3c78c76a1b4c65be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7e847127bbff3fc4f4624ce8a5cbc372541d8a8d82667201c572f4ce4a2074",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-27T08:33:26Z",
    "title_canon_sha256": "cdbea1a37b19674aea8cf7b91d8ce5c682898d2df0425f36fac93b2ee80fb3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5327",
    "kind": "arxiv",
    "version": 2
  }
}