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Pith Number

pith:ICGWMH5E

pith:2016:ICGWMH5E3WERVJVJ6QD3NYQI2R
not attested not anchored not stored refs pending

Tradeoffs between microbial growth phases lead to frequency-dependent and non-transitive selection

Bharat V. Adkar, Eugene I. Shakhnovich, Michael Manhart

arxiv:1612.07908 v3 · 2016-12-23 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ICGWMH5E3WERVJVJ6QD3NYQI2R}

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 2026-05-18T00:23:21.495442Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

408d661fa4dd891aa6a9f407b6e208d447a359f3af4e07590b5dbb3c9176c6bf

Aliases

arxiv: 1612.07908 · arxiv_version: 1612.07908v3 · doi: 10.48550/arxiv.1612.07908 · pith_short_12: ICGWMH5E3WER · pith_short_16: ICGWMH5E3WERVJVJ · pith_short_8: ICGWMH5E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ICGWMH5E3WERVJVJ6QD3NYQI2R \
  | 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: 408d661fa4dd891aa6a9f407b6e208d447a359f3af4e07590b5dbb3c9176c6bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0158bc1d3db67f7a2bcd2ac350dcc12bda1d8ee4868680c83a2fed26cf1a9cb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-12-23T09:12:42Z",
    "title_canon_sha256": "0a8966c9a1c3d22fc46d529a511bfd839f3472ec75244580dc9efe85c8b2b6f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07908",
    "kind": "arxiv",
    "version": 3
  }
}