Pith Number

pith:7O6JUOJC

pith:2017:7O6JUOJCX2TZDOXRLTKE7UUFBW

not attested not anchored not stored refs pending

Harmonic mappings valued in the Wasserstein space

Hugo Lavenant (LM-Orsay)

arxiv:1712.07528 v2 · 2017-12-20 · 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{7O6JUOJCX2TZDOXRLTKE7UUFBW}

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	2026-05-17T23:44:59.912312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbbc9a3922bea791baf15cd44fd2850d91ca05818ad0de905eaff42cfee510fc

Aliases

arxiv: 1712.07528 · arxiv_version: 1712.07528v2 · doi: 10.48550/arxiv.1712.07528 · pith_short_12: 7O6JUOJCX2TZ · pith_short_16: 7O6JUOJCX2TZDOXR · pith_short_8: 7O6JUOJC

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/7O6JUOJCX2TZDOXRLTKE7UUFBW \
  | 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: fbbc9a3922bea791baf15cd44fd2850d91ca05818ad0de905eaff42cfee510fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbefd7c84f579a872603c032145f5a0fde6edc42ecf13a78fe4c7534c39bd22a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-20T15:36:17Z",
    "title_canon_sha256": "635faf46bc81e0e2dfe62c4903a238b15b9896fced5630aed4eafc98e9d9b208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07528",
    "kind": "arxiv",
    "version": 2
  }
}