Pith Number

pith:MMN2ZDKU

pith:2026:MMN2ZDKUA2JX3IRU4AMRUELVII

not attested not anchored not stored refs pending

Comparison Geometry on Manifolds with Density via Modified Hessians

Nicholas Ng

arxiv:2605.24407 v1 · 2026-05-23 · 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{MMN2ZDKUA2JX3IRU4AMRUELVII}

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	2026-05-26T01:03:37.882637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631bac8d5406937da234e0191a117542061ab54a77c317a846ecfe57327197da

Aliases

arxiv: 2605.24407 · arxiv_version: 2605.24407v1 · doi: 10.48550/arxiv.2605.24407 · pith_short_12: MMN2ZDKUA2JX · pith_short_16: MMN2ZDKUA2JX3IRU · pith_short_8: MMN2ZDKU

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/MMN2ZDKUA2JX3IRU4AMRUELVII \
  | 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: 631bac8d5406937da234e0191a117542061ab54a77c317a846ecfe57327197da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6530fa50379f2b308b2e51897cf1703d171e29119a70f5baa6e709858ac9a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-23T05:35:15Z",
    "title_canon_sha256": "b6512609a73c5e460279feba6536384d7bb488c85264484b173a5ef0ead4e4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24407",
    "kind": "arxiv",
    "version": 1
  }
}