Pith Number

pith:4ZVZHBWF

pith:2013:4ZVZHBWFLYBEH7NXW3YNTBKB5S

not attested not anchored not stored refs pending

Symmetric Monge-Kantorovich problems and polar decompositions of vector fields

Abbas Moameni, Nassif Ghoussoub

arxiv:1302.2886 v2 · 2013-02-12 · 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{4ZVZHBWFLYBEH7NXW3YNTBKB5S}

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	2026-05-18T03:13:46.126968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66b9386c55e0243fdb7b6f0d98541ec989094383d7912a59f6f7682a7d7aaa5

Aliases

arxiv: 1302.2886 · arxiv_version: 1302.2886v2 · doi: 10.48550/arxiv.1302.2886 · pith_short_12: 4ZVZHBWFLYBE · pith_short_16: 4ZVZHBWFLYBEH7NX · pith_short_8: 4ZVZHBWF

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/4ZVZHBWFLYBEH7NXW3YNTBKB5S \
  | 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: e66b9386c55e0243fdb7b6f0d98541ec989094383d7912a59f6f7682a7d7aaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa63c2fc8fa38419bf9f54a4d4ca5623d819542197b9068c485ab9579ae0c09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-12T18:40:44Z",
    "title_canon_sha256": "d902257d5bd65c067ee3b0e964e6c48ae368abd055c3bccb42e0e6739e69f712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2886",
    "kind": "arxiv",
    "version": 2
  }
}