Pith Number

pith:ZLAL2OON

pith:2013:ZLAL2OONGXCTXUE3RRG5YROATO

not attested not anchored not stored refs pending

Decoupling of DeGiorgi-type systems via multi-marginal optimal transport

Brendan Pass, Nassif Ghoussoub

arxiv:1302.3280 v2 · 2013-02-14 · 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{ZLAL2OONGXCTXUE3RRG5YROATO}

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	2026-05-18T03:15:32.336623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac0bd39cd35c53bd09b8c4ddc45c09ba5dd97c34810a9bc1dadb402de58d6ab

Aliases

arxiv: 1302.3280 · arxiv_version: 1302.3280v2 · doi: 10.48550/arxiv.1302.3280 · pith_short_12: ZLAL2OONGXCT · pith_short_16: ZLAL2OONGXCTXUE3 · pith_short_8: ZLAL2OON

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/ZLAL2OONGXCTXUE3RRG5YROATO \
  | 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: cac0bd39cd35c53bd09b8c4ddc45c09ba5dd97c34810a9bc1dadb402de58d6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0228e99e346aae8c0ec2e87a9e28d8826b7a7f424dbb67623f449b6423352645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-14T00:46:59Z",
    "title_canon_sha256": "c46339b31c7c9215d3dc8ca42a06b8a9ac7d6fa2a80b29182066da8957540acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3280",
    "kind": "arxiv",
    "version": 2
  }
}