Pith Number

pith:N6E2LRYS

pith:2017:N6E2LRYSZLB642K7EGN626SBDT

not attested not anchored not stored refs pending

Phase transitions for geodesic flows and the geometric potential

Anibal Velozo

arxiv:1704.02562 v2 · 2017-04-09 · math.DS · math-ph · math.DG · 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{N6E2LRYSZLB642K7EGN626SBDT}

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	2026-05-18T00:17:35.596302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f89a5c712cac3ee695f219bed7a411cec4fea5d2e444131a3dff6a2905790bb

Aliases

arxiv: 1704.02562 · arxiv_version: 1704.02562v2 · doi: 10.48550/arxiv.1704.02562 · pith_short_12: N6E2LRYSZLB6 · pith_short_16: N6E2LRYSZLB642K7 · pith_short_8: N6E2LRYS

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/N6E2LRYSZLB642K7EGN626SBDT \
  | 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: 6f89a5c712cac3ee695f219bed7a411cec4fea5d2e444131a3dff6a2905790bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c040705c798ab96fe9a89406c4ca423fc7c317bf788236cddfedf9915ec0e6b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-09T05:10:19Z",
    "title_canon_sha256": "80a65d0c6d69eb72d46b3f8b6025105a8643e018a383b45b21ce9f54af4b3de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02562",
    "kind": "arxiv",
    "version": 2
  }
}