Pith Number

pith:MARPMDP5

pith:2017:MARPMDP5T2WOIIPOHNFZSOJQ6H

not attested not anchored not stored refs pending

Population games and Discrete optimal transport

Haomin Zhou, Jun Lu, Shui-Nee Chow, Wuchen Li

arxiv:1704.00855 v1 · 2017-04-04 · 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{MARPMDP5T2WOIIPOHNFZSOJQ6H}

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	2026-05-18T00:01:00.767506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6022f60dfd9eace421ee3b4b993930f1db63d99da62254685f6ff17a5ae11619

Aliases

arxiv: 1704.00855 · arxiv_version: 1704.00855v1 · doi: 10.48550/arxiv.1704.00855 · pith_short_12: MARPMDP5T2WO · pith_short_16: MARPMDP5T2WOIIPO · pith_short_8: MARPMDP5

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/MARPMDP5T2WOIIPOHNFZSOJQ6H \
  | 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: 6022f60dfd9eace421ee3b4b993930f1db63d99da62254685f6ff17a5ae11619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e2ea40b7468af7ddefd7185ada5a76aea47d8901f04ebd31c20e061684f711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-04-04T02:43:05Z",
    "title_canon_sha256": "3e616cd2d12a3deace4dcdc14c87be1baf7248bf27a7b9869c5b918caca41632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00855",
    "kind": "arxiv",
    "version": 1
  }
}