Pith Number

pith:FSCWKAXX

pith:2017:FSCWKAXXYDZVHQWJBF66FK4JVX

not attested not anchored not stored refs pending

Optimal density evolution with congestion: L infinity bounds via flow interchange techniques and applications to variational Mean Field Games

Filippo Santambrogio (LM-Orsay), Hugo Lavenant (LM-Orsay)

arxiv:1705.05658 v1 · 2017-05-16 · 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{FSCWKAXXYDZVHQWJBF66FK4JVX}

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	2026-05-18T00:44:20.532233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c856502f7c0f353c2c9097de2ab89adc3b91ffe3fce2318f3568b2d9b524100

Aliases

arxiv: 1705.05658 · arxiv_version: 1705.05658v1 · doi: 10.48550/arxiv.1705.05658 · pith_short_12: FSCWKAXXYDZV · pith_short_16: FSCWKAXXYDZVHQWJ · pith_short_8: FSCWKAXX

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/FSCWKAXXYDZVHQWJBF66FK4JVX \
  | 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: 2c856502f7c0f353c2c9097de2ab89adc3b91ffe3fce2318f3568b2d9b524100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfaddcd309f0803c688d661991d65fc2842456e92dba4c9ea06adad69fad63c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-16T11:46:09Z",
    "title_canon_sha256": "47f1b947c7b8297e6d9297033c2197fe768c239e088b5b934be9bffb8d6f1202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05658",
    "kind": "arxiv",
    "version": 1
  }
}