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Pith Number

pith:LBR3U2UW

pith:2011:LBR3U2UWEVYECQAA4ZTSIORY3T
not attested not anchored not stored refs pending

Percolate or die: Multi-percolation decides the struggle between competing innovations

Carlos P. Roca, Dirk Helbing, Moez Draief

arxiv:1101.0775 v1 · 2011-01-04 · physics.soc-ph · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LBR3U2UWEVYECQAA4ZTSIORY3T}

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 2026-05-18T04:32:01.418458Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5863ba6a962570414000e667243a38dce22e17a5f9551b90dcfdef223a627a24

Aliases

arxiv: 1101.0775 · arxiv_version: 1101.0775v1 · doi: 10.48550/arxiv.1101.0775 · pith_short_12: LBR3U2UWEVYE · pith_short_16: LBR3U2UWEVYECQAA · pith_short_8: LBR3U2UW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LBR3U2UWEVYECQAA4ZTSIORY3T \
  | 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: 5863ba6a962570414000e667243a38dce22e17a5f9551b90dcfdef223a627a24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "79a9626e96a2d85da60aa752aed201999de2b43e6d88239c51d09a8f5fcdf4b7",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-01-04T17:37:23Z",
    "title_canon_sha256": "e831d7fc986369502b4d2b6fbb370b57389ebfb3c64fd479a4b9c1f0125eb4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0775",
    "kind": "arxiv",
    "version": 1
  }
}