Pith Number

pith:HYJMCJ7F

pith:2009:HYJMCJ7FZSLZHTJTCPWOG72ZWY

not attested not anchored not stored refs pending

Surface Comparison with Mass Transportation

I. Daubechies, Y. Lipman

arxiv:0912.3488 v2 · 2009-12-17 · math.NA · cs.NA · 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{HYJMCJ7FZSLZHTJTCPWOG72ZWY}

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	2026-06-03T23:06:31.725999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e12c127e5cc9793cd3313ece37f59b607221d7846aa67b0f1ffc42aba396fb0

Aliases

arxiv: 0912.3488 · arxiv_version: 0912.3488v2 · doi: 10.48550/arxiv.0912.3488 · pith_short_12: HYJMCJ7FZSLZ · pith_short_16: HYJMCJ7FZSLZHTJT · pith_short_8: HYJMCJ7F

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/HYJMCJ7FZSLZHTJTCPWOG72ZWY \
  | 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: 3e12c127e5cc9793cd3313ece37f59b607221d7846aa67b0f1ffc42aba396fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c2c0f950c8de899624007a0bcfb86981305860763c6e21cdc55366f5e06363",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-12-17T18:47:38Z",
    "title_canon_sha256": "fc002e2879b2cc4ab4585566ac4dea890c92fd46c2684220a98515046ad4b1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3488",
    "kind": "arxiv",
    "version": 2
  }
}