Pith. sign in
Pith Number

pith:GGXTIXKU

pith:2021:GGXTIXKUE6HVZCGKJ2LEKL7TIR
not attested not anchored not stored refs pending

Natural selection of mutants that modify population structure

Josef Tkadlec, Kamran Kaveh, Krishnendu Chatterjee, Martin A. Nowak

arxiv:2111.10890 v1 · 2021-11-21 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GGXTIXKUE6HVZCGKJ2LEKL7TIR}

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 2026-07-05T03:33:57.969435Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

31af345d54278f5c88ca4e96452ff344625c90fddc32c3c073de0dc7528704a7

Aliases

arxiv: 2111.10890 · arxiv_version: 2111.10890v1 · doi: 10.48550/arxiv.2111.10890 · pith_short_12: GGXTIXKUE6HV · pith_short_16: GGXTIXKUE6HVZCGK · pith_short_8: GGXTIXKU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GGXTIXKUE6HVZCGKJ2LEKL7TIR \
  | 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: 31af345d54278f5c88ca4e96452ff344625c90fddc32c3c073de0dc7528704a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "182090ad346ed02bd76403ef9061d22da811c69ab8678bc27c390f49608b5abe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2021-11-21T20:11:22Z",
    "title_canon_sha256": "1b58a09ad52a162e686c7098056779e6cda5f84d3ae805a50cc489808a4c43cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10890",
    "kind": "arxiv",
    "version": 1
  }
}