Pith Number

pith:I4WQ26QQ

pith:2016:I4WQ26QQUP4UYVO3Q7MSGHDTM5

not attested not anchored not stored refs pending

Free transport for convex potentials

A. Guionnet, D. Shlyakhtenko, Y. Dabrowski

arxiv:1701.00132 v1 · 2016-12-31 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4WQ26QQUP4UYVO3Q7MSGHDTM5}

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	2026-05-18T00:53:36.292652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472d0d7a10a3f94c55db87d9231c736743a2eeab258761741472dec9cb45d145

Aliases

arxiv: 1701.00132 · arxiv_version: 1701.00132v1 · doi: 10.48550/arxiv.1701.00132 · pith_short_12: I4WQ26QQUP4U · pith_short_16: I4WQ26QQUP4UYVO3 · pith_short_8: I4WQ26QQ

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/I4WQ26QQUP4UYVO3Q7MSGHDTM5 \
  | 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: 472d0d7a10a3f94c55db87d9231c736743a2eeab258761741472dec9cb45d145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a351a309efeaa58572e76ef0f6bb0fdaaf04e3d8eee45405f306c38cf9b66cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-31T16:21:58Z",
    "title_canon_sha256": "496fc3c958bab21916c6fda1631de6ae43e7e972f3932dda6086cd222fc3b9e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00132",
    "kind": "arxiv",
    "version": 1
  }
}