Pith Number

pith:A3PZEIB3

pith:2015:A3PZEIB3QHA7VMJG7QCR4CVOZT

not attested not anchored not stored refs pending

Amplifiers for the Moran Process

Andreas Galanis, Andreas G\"obel, David Richerby, John Lapinskas, Leslie Ann Goldberg

arxiv:1512.05632 v2 · 2015-12-17 · math.PR · cs.DM · cs.SI · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3PZEIB3QHA7VMJG7QCR4CVOZT}

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	2026-05-18T01:15:35.951733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06df92203b81c1fab126fc051e0aaeccf10c2ce448499e9a5224bc29025ae39d

Aliases

arxiv: 1512.05632 · arxiv_version: 1512.05632v2 · doi: 10.48550/arxiv.1512.05632 · pith_short_12: A3PZEIB3QHA7 · pith_short_16: A3PZEIB3QHA7VMJG · pith_short_8: A3PZEIB3

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/A3PZEIB3QHA7VMJG7QCR4CVOZT \
  | 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: 06df92203b81c1fab126fc051e0aaeccf10c2ce448499e9a5224bc29025ae39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a89d52742221d909dbcc381e238d374c1be8c037d21e2d3eadd7ba6f63e3f2",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-17T15:38:25Z",
    "title_canon_sha256": "60406bbdcfadb53cda0f1e987b3e41dd76054f1d102358bb99dc697d0b8738f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05632",
    "kind": "arxiv",
    "version": 2
  }
}