Pith Number

pith:4C2URWH7

pith:2016:4C2URWH76EGN3PUQONBZW2WYWV

not attested not anchored not stored refs pending

Duality and Fixation in $\Xi$-Wright-Fisher processes with frequency-dependent selection

Adri\'an Gonz\'alez Casanova, Dario Span\`o

arxiv:1612.04947 v3 · 2016-12-15 · math.PR · 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{4C2URWH76EGN3PUQONBZW2WYWV}

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	2026-05-18T00:46:31.410758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b548d8fff10cddbe9073439b6ad8b57caafe6fad5466831d2f5745d3935a41

Aliases

arxiv: 1612.04947 · arxiv_version: 1612.04947v3 · doi: 10.48550/arxiv.1612.04947 · pith_short_12: 4C2URWH76EGN · pith_short_16: 4C2URWH76EGN3PUQ · pith_short_8: 4C2URWH7

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/4C2URWH76EGN3PUQONBZW2WYWV \
  | 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: e0b548d8fff10cddbe9073439b6ad8b57caafe6fad5466831d2f5745d3935a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994202497700d3ab5029d76d5c35692075b1dff1ec10486a83ba22a464211614",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-15T07:06:02Z",
    "title_canon_sha256": "e4c5c2deb959b9cc680150f702d8cf9cddcc2c4673668e2d8c7e2426e45d13f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04947",
    "kind": "arxiv",
    "version": 3
  }
}