Pith Number

pith:DAAHRSVI

pith:2012:DAAHRSVIGSURJ46BMGJWPI7RHU

not attested not anchored not stored refs pending

Second order stability for the Monge-Ampere equation and strong Sobolev convergence of optimal transport maps

Alessio Figalli, Guido De Philippis

arxiv:1202.5561 v3 · 2012-02-24 · 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{DAAHRSVIGSURJ46BMGJWPI7RHU}

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	2026-05-18T03:40:38.620452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180078caa834a914f3c1619367a3f13d38056cff89d3ea210e64e66d7018fa1d

Aliases

arxiv: 1202.5561 · arxiv_version: 1202.5561v3 · doi: 10.48550/arxiv.1202.5561 · pith_short_12: DAAHRSVIGSUR · pith_short_16: DAAHRSVIGSURJ46B · pith_short_8: DAAHRSVI

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/DAAHRSVIGSURJ46BMGJWPI7RHU \
  | 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: 180078caa834a914f3c1619367a3f13d38056cff89d3ea210e64e66d7018fa1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4046375ea94b4c9873b384a01ec44f23d7bb281cb5df04d8650fb94e2b1869af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-24T21:25:22Z",
    "title_canon_sha256": "7b452e62534eac4da02904fca3b4c21c6e17fb6d3912471d816d2a61d1438b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5561",
    "kind": "arxiv",
    "version": 3
  }
}