Pith Number

pith:AFZR5TY5

pith:2015:AFZR5TY5VXFRL5NPEHG6C7FRF2

not attested not anchored not stored refs pending

Distribution functions, extremal limits and optimal transport

Maria Rita Iac\`o, Robert F. Tichy, Stefan Thonhauser

arxiv:1502.06839 v1 · 2015-02-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFZR5TY5VXFRL5NPEHG6C7FRF2}

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	2026-05-18T02:26:24.511933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01731ecf1dadcb15f5af21cde17cb12e9acca56ae5af7d8c5beec4dcd816bbda

Aliases

arxiv: 1502.06839 · arxiv_version: 1502.06839v1 · doi: 10.48550/arxiv.1502.06839 · pith_short_12: AFZR5TY5VXFR · pith_short_16: AFZR5TY5VXFRL5NP · pith_short_8: AFZR5TY5

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/AFZR5TY5VXFRL5NPEHG6C7FRF2 \
  | 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: 01731ecf1dadcb15f5af21cde17cb12e9acca56ae5af7d8c5beec4dcd816bbda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4947d07bdd4403038ce975fe1dc25c07ff6aecb4438af4640d58e804ffcb69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-24T15:44:45Z",
    "title_canon_sha256": "3182f8631653660c1b6efb12032636aaf6a1bb1754fec54318f246bf81212dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06839",
    "kind": "arxiv",
    "version": 1
  }
}