Pith Number

pith:KKGL3HX4

pith:2025:KKGL3HX43J33Z2ZRCVG7M3WFFD

not attested not anchored not stored refs pending

Sublinear Morse Geodesics and First Passage Percolation

Sagnik Jana, Yulan Qing

arxiv:2507.07859 v1 · 2025-07-10 · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKGL3HX43J33Z2ZRCVG7M3WFFD}

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	2026-07-05T11:35:06.294690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528cbd9efcda77bceb31154df66ec528cb79566acd6a7a0a571331666af3928d

Aliases

arxiv: 2507.07859 · arxiv_version: 2507.07859v1 · doi: 10.48550/arxiv.2507.07859 · pith_short_12: KKGL3HX43J33 · pith_short_16: KKGL3HX43J33Z2ZR · pith_short_8: KKGL3HX4

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/KKGL3HX43J33Z2ZRCVG7M3WFFD \
  | 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: 528cbd9efcda77bceb31154df66ec528cb79566acd6a7a0a571331666af3928d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50636c0f02c0700d416eee8f4ba2f303c875fb9077aef36445918cad32adffc2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-10T15:40:00Z",
    "title_canon_sha256": "fc170a94fb77655cdd538ff4132da1be62bdd16ee183b236f397e400e29c9a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07859",
    "kind": "arxiv",
    "version": 1
  }
}