Pith Number

pith:72LSPC6R

pith:2012:72LSPC6RHLC5V3LRCF4FDFMUFF

not attested not anchored not stored refs pending

A viscosity solution approach to the Monge-Ampere formulation of the Optimal Transportation Problem

Adam M. Oberman, Brittany D. Froese, Jean-David Benamou

arxiv:1208.4873 v2 · 2012-08-23 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72LSPC6RHLC5V3LRCF4FDFMUFF}

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	2026-05-18T03:16:49.731232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe97278bd13ac5daed711178519594297864c88cb6d92f5d35e46b4e1fa9c27e

Aliases

arxiv: 1208.4873 · arxiv_version: 1208.4873v2 · doi: 10.48550/arxiv.1208.4873 · pith_short_12: 72LSPC6RHLC5 · pith_short_16: 72LSPC6RHLC5V3LR · pith_short_8: 72LSPC6R

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/72LSPC6RHLC5V3LRCF4FDFMUFF \
  | 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: fe97278bd13ac5daed711178519594297864c88cb6d92f5d35e46b4e1fa9c27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe9f3da1fb6e47cd95a85547217c3487f2f2e420c79221d8f58e8f671aa0b57",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-23T22:09:07Z",
    "title_canon_sha256": "e7f8f05b2a8f9102d3be5d8b0bfda138dcdc1a859d831d09f3e29a6f13fbec8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4873",
    "kind": "arxiv",
    "version": 2
  }
}