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Pith Number

pith:QPC3UVLB

pith:2013:QPC3UVLBQNSWN6JHG3JBDJ2BMZ
not attested not anchored not stored refs pending

Feedback between population and evolutionary dynamics determines the fate of social microbial populations

Alvaro Sanchez, Jeff Gore

arxiv:1301.2791 v1 · 2013-01-13 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QPC3UVLBQNSWN6JHG3JBDJ2BMZ}

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 2026-05-18T03:36:35.223566Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

83c5ba5561836566f92736d211a7416664ff0501cff0850c0bc2bd30af9081c7

Aliases

arxiv: 1301.2791 · arxiv_version: 1301.2791v1 · doi: 10.48550/arxiv.1301.2791 · pith_short_12: QPC3UVLBQNSW · pith_short_16: QPC3UVLBQNSWN6JH · pith_short_8: QPC3UVLB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QPC3UVLBQNSWN6JHG3JBDJ2BMZ \
  | 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: 83c5ba5561836566f92736d211a7416664ff0501cff0850c0bc2bd30af9081c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f12cbbe2083fdc1f3ac85664dbd654c811dfc286e5244f269189542f3da129c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-01-13T16:45:21Z",
    "title_canon_sha256": "b22cf08d2ac1a6c462cb8012b3c6b2015ea4dbd5a6007b1914c7cdeedffbfe84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2791",
    "kind": "arxiv",
    "version": 1
  }
}