Pith Number

pith:TCEDB3OH

pith:2010:TCEDB3OHC7IC2WAI2X7NQF5JAB

not attested not anchored not stored refs pending

Lecture notes on variational models for incompressible Euler equations

Alessio Figalli, Luigi Ambrosio (SNS)

arxiv:1009.3419 v1 · 2010-09-17 · math.CA · math.AP · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCEDB3OHC7IC2WAI2X7NQF5JAB}

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	2026-05-18T04:40:45.768299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988830edc717d02d5808d5fed817a90070905a9a107a44d538f0b0714b0f1412

Aliases

arxiv: 1009.3419 · arxiv_version: 1009.3419v1 · doi: 10.48550/arxiv.1009.3419 · pith_short_12: TCEDB3OHC7IC · pith_short_16: TCEDB3OHC7IC2WAI · pith_short_8: TCEDB3OH

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/TCEDB3OHC7IC2WAI2X7NQF5JAB \
  | 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: 988830edc717d02d5808d5fed817a90070905a9a107a44d538f0b0714b0f1412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de4483a755e918aace97f5d1c6dd3720742011d8af342129d2ac748facfed3c",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-17T13:30:48Z",
    "title_canon_sha256": "a0830560aa955be0c32d17a78a5a717e6e672ef0a75fd344f1f0173d1c872a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3419",
    "kind": "arxiv",
    "version": 1
  }
}