Pith Number

pith:WPPVDM5V

pith:2019:WPPVDM5VE7ELY5B7APBQQT7Y4Y

not attested not anchored not stored refs pending

Collective dynamics of opposing groups with stochastic communication

Ruiwen Shu, Shi Jin

arxiv:1907.05566 v1 · 2019-07-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPPVDM5VE7ELY5B7APBQQT7Y4Y}

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	2026-05-17T23:40:47.905524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3df51b3b527c8bc743f03c3084ff8e62966be4b39ff0dbba8757171cf5871e4

Aliases

arxiv: 1907.05566 · arxiv_version: 1907.05566v1 · doi: 10.48550/arxiv.1907.05566 · pith_short_12: WPPVDM5VE7EL · pith_short_16: WPPVDM5VE7ELY5B7 · pith_short_8: WPPVDM5V

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/WPPVDM5VE7ELY5B7APBQQT7Y4Y \
  | 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: b3df51b3b527c8bc743f03c3084ff8e62966be4b39ff0dbba8757171cf5871e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8fa258e4831190ca52c43e177842408227d5b8526bc2bb7e1eb56c3760d198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-11T01:58:44Z",
    "title_canon_sha256": "94cf9598847a8d32b1e534feca61685a9a8399d011f53ffe28f9367608138ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05566",
    "kind": "arxiv",
    "version": 1
  }
}