Pith Number

pith:KSWL76WT

pith:2011:KSWL76WT4VIMRAEURBFWNQVWB2

not attested not anchored not stored refs pending

A phase transition for measure-valued SIR epidemic processes

Edwin A. Perkins, Steven P. Lalley, Xinghua Zheng

arxiv:1111.6451 v3 · 2011-11-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSWL76WT4VIMRAEURBFWNQVWB2}

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	2026-05-18T03:02:21.484276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54acbffad3e550c88094884b66c2b60eb79fc291d5e7427eaed2371f95188349

Aliases

arxiv: 1111.6451 · arxiv_version: 1111.6451v3 · doi: 10.48550/arxiv.1111.6451 · pith_short_12: KSWL76WT4VIM · pith_short_16: KSWL76WT4VIMRAEU · pith_short_8: KSWL76WT

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/KSWL76WT4VIMRAEURBFWNQVWB2 \
  | 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: 54acbffad3e550c88094884b66c2b60eb79fc291d5e7427eaed2371f95188349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28c1845c932b26d5c2456bceae14ade028a2c0c1fa759740775cbc22e23c2ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-28T14:39:08Z",
    "title_canon_sha256": "f72561c47c098557f9609a50bb6262db0f8c8cc3ec34f579bb5a8d416d9ec76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6451",
    "kind": "arxiv",
    "version": 3
  }
}