Pith Number

pith:XYU2IXQA

pith:2025:XYU2IXQAS7M2JNDL56OM4A3HWS

not attested not anchored not stored refs pending

Facets of Brachistochronic Trajectories

Ady Mann, David Agmon

arxiv:2507.00084 v1 · 2025-06-30 · physics.class-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYU2IXQAS7M2JNDL56OM4A3HWS}

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	2026-07-05T11:29:36.585369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be29a45e0097d9a4b46bef9cce0367b4a07374bdcc7ff9b61cb118a0bec540a9

Aliases

arxiv: 2507.00084 · arxiv_version: 2507.00084v1 · doi: 10.48550/arxiv.2507.00084 · pith_short_12: XYU2IXQAS7M2 · pith_short_16: XYU2IXQAS7M2JNDL · pith_short_8: XYU2IXQA

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/XYU2IXQAS7M2JNDL56OM4A3HWS \
  | 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: be29a45e0097d9a4b46bef9cce0367b4a07374bdcc7ff9b61cb118a0bec540a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b15ffa18ce5845d1f10d5fd3ded5ed5587bb675dd4009cf1c5e8e7c707172e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2025-06-30T05:03:16Z",
    "title_canon_sha256": "ed3db082a5dd68edd3431bee102d77813f8c6964a1e4aed4ad39f9d28b0c4253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00084",
    "kind": "arxiv",
    "version": 1
  }
}