Pith Number

pith:HQ5GG2ML

pith:2021:HQ5GG2ML57T7HZB4XIG4U2ZUWW

not attested not anchored not stored refs pending

Finite State Graphon Games with Applications to Epidemics

Alexander Aurell, Gokce Dayanikli, Mathieu Lauriere, Rene Carmona

arxiv:2106.07859 v1 · 2021-06-15 · 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{HQ5GG2ML57T7HZB4XIG4U2ZUWW}

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	2026-07-05T02:49:34.724217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3a63698befe7f3e43cba0dca6b34b5ad1a93f46c8522daee2c0f99f856b93e

Aliases

arxiv: 2106.07859 · arxiv_version: 2106.07859v1 · doi: 10.48550/arxiv.2106.07859 · pith_short_12: HQ5GG2ML57T7 · pith_short_16: HQ5GG2ML57T7HZB4 · pith_short_8: HQ5GG2ML

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/HQ5GG2ML57T7HZB4XIG4U2ZUWW \
  | 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: 3c3a63698befe7f3e43cba0dca6b34b5ad1a93f46c8522daee2c0f99f856b93e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b08af592b3e9a2c5a9863bc9e3c9b2c424578fd5e1602fd1f23a9e0866b5e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-15T03:28:08Z",
    "title_canon_sha256": "d384c0e04456f8beccd00622e645a568860339bae6e023b150a00c33384cb245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.07859",
    "kind": "arxiv",
    "version": 1
  }
}