Pith Number

pith:I3KRVDZ4

pith:2024:I3KRVDZ4YVPPAALQ3K6PTLTT4H

not attested not anchored not stored refs pending

Bifurcations for Lagrangian systems and geodesics II

Guangcun Lu

arxiv:2404.18815 v4 · 2024-04-29 · math.DS · math.CA · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3KRVDZ4YVPPAALQ3K6PTLTT4H}

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	2026-06-19T16:12:03.039884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d51a8f3cc55ef00170dabcf9ae73e1e3857a3c184d5ccb2b141caa16c36f2b

Aliases

arxiv: 2404.18815 · arxiv_version: 2404.18815v4 · doi: 10.48550/arxiv.2404.18815 · pith_short_12: I3KRVDZ4YVPP · pith_short_16: I3KRVDZ4YVPPAALQ · pith_short_8: I3KRVDZ4

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/I3KRVDZ4YVPPAALQ3K6PTLTT4H \
  | 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: 46d51a8f3cc55ef00170dabcf9ae73e1e3857a3c184d5ccb2b141caa16c36f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559113ff8369194921f7947674895d35c4e48bac959996e1586e5ddf2e5beb09",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-04-29T15:52:05Z",
    "title_canon_sha256": "efdcf1407d8858ceec05cb966bc3c64fbf797bb7149dcea849ccd3649370af10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.18815",
    "kind": "arxiv",
    "version": 4
  }
}