Pith Number

pith:BETCDN7C

pith:2025:BETCDN7CYP4IYP6IIKUYOTQSQX

not attested not anchored not stored refs pending

A general model for time-minimizing navigation on a mountain slope under gravity

Nicoleta Aldea, Piotr Kopacz

arxiv:2506.06720 v1 · 2025-06-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BETCDN7CYP4IYP6IIKUYOTQSQX}

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	2026-07-05T11:44:07.063996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092621b7e2c3f88c3fc842a9874e1285f4ca6812dcaa8b9b8aa5f127c931e695

Aliases

arxiv: 2506.06720 · arxiv_version: 2506.06720v1 · doi: 10.48550/arxiv.2506.06720 · pith_short_12: BETCDN7CYP4I · pith_short_16: BETCDN7CYP4IYP6I · pith_short_8: BETCDN7C

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/BETCDN7CYP4IYP6IIKUYOTQSQX \
  | 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: 092621b7e2c3f88c3fc842a9874e1285f4ca6812dcaa8b9b8aa5f127c931e695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d0714e93cc2476cdc3c974d6dedb3388226239d81c881c21c4d07da10de236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-07T09:02:56Z",
    "title_canon_sha256": "9f96a05b2047362f647eca20f9b4287840624bd126af4fc7d5f44ec96f9c096b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06720",
    "kind": "arxiv",
    "version": 1
  }
}