Pith Number

pith:FKOJOTB5

pith:2008:FKOJOTB5TW6TRWORGIM7E66WRB

not attested not anchored not stored refs pending

Eulerian calculus for the displacement convexity in the Wasserstein distance

Giuseppe Savare, Sara Daneri

arxiv:0801.2455 v1 · 2008-01-16 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKOJOTB5TW6TRWORGIM7E66WRB}

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	2026-05-18T02:42:54.569021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9c974c3d9dbd38d9d13219f27bd688682f53672bc9d03d7f4865ab9e75f881

Aliases

arxiv: 0801.2455 · arxiv_version: 0801.2455v1 · doi: 10.48550/arxiv.0801.2455 · pith_short_12: FKOJOTB5TW6T · pith_short_16: FKOJOTB5TW6TRWOR · pith_short_8: FKOJOTB5

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/FKOJOTB5TW6TRWORGIM7E66WRB \
  | 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: 2a9c974c3d9dbd38d9d13219f27bd688682f53672bc9d03d7f4865ab9e75f881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9198ea3bf5ff60793bb85d17a2d1e748b3b9ccce3e50c83528022c7643a47964",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2008-01-16T08:50:02Z",
    "title_canon_sha256": "d9c7ded6ad9e1594ecd7ea23a294cf717b916b28da8c4eaddc3ad2d36befb605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2455",
    "kind": "arxiv",
    "version": 1
  }
}