Pith Number

pith:TDD7FLNI

pith:2014:TDD7FLNIASGA7UJL7WZZOX7P52

not attested not anchored not stored refs pending

Boundary $\varepsilon$-regularity in optimal transportation

Alessio Figalli, Shibing Chen

arxiv:1412.5747 v1 · 2014-12-18 · 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{TDD7FLNIASGA7UJL7WZZOX7P52}

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	2026-05-18T02:30:56.525181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c7f2ada8048c0fd12bfdb3975fefee9f8029ea1b311e19ecaf3ad8049bd164

Aliases

arxiv: 1412.5747 · arxiv_version: 1412.5747v1 · doi: 10.48550/arxiv.1412.5747 · pith_short_12: TDD7FLNIASGA · pith_short_16: TDD7FLNIASGA7UJL · pith_short_8: TDD7FLNI

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/TDD7FLNIASGA7UJL7WZZOX7P52 \
  | 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: 98c7f2ada8048c0fd12bfdb3975fefee9f8029ea1b311e19ecaf3ad8049bd164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b170393c4c9a409de94ca17ff8cfa7f7432c037771cf7d8babadcfc8af2a528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-18T08:03:54Z",
    "title_canon_sha256": "0e50e617f249daeae5468744b1e667b01d6de5ac2d38a108b4aa844831af596b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5747",
    "kind": "arxiv",
    "version": 1
  }
}