Pith Number

pith:SYRJ2FPG

pith:2021:SYRJ2FPGONTSJSHQ3YP734MFIG

not attested not anchored not stored refs pending

Smoothed Analysis of Population Protocols

Gregory Schwartzman, Yuichi Sudo

arxiv:2105.12262 v1 · 2021-05-25 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYRJ2FPGONTSJSHQ3YP734MFIG}

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	2026-07-05T02:43:36.700156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96229d15e6736724c8f0de1ffdf18541bfdef60a2c4c45e507fd446d30ca80f0

Aliases

arxiv: 2105.12262 · arxiv_version: 2105.12262v1 · doi: 10.48550/arxiv.2105.12262 · pith_short_12: SYRJ2FPGONTS · pith_short_16: SYRJ2FPGONTSJSHQ · pith_short_8: SYRJ2FPG

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/SYRJ2FPGONTSJSHQ3YP734MFIG \
  | 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: 96229d15e6736724c8f0de1ffdf18541bfdef60a2c4c45e507fd446d30ca80f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a02a30363b2a708f1c2c3689e790d3ae0fda704a999c7b5d9cde3adf0a8d8c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2021-05-25T23:55:18Z",
    "title_canon_sha256": "c78e9cc881afe4b2c3a4e9c60c2f9599f860043212410749ec018c6497136e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12262",
    "kind": "arxiv",
    "version": 1
  }
}