Pith Number

pith:P5GZZP7U

pith:2010:P5GZZP7UDES3PIMFHLIIKS3TUL

not attested not anchored not stored refs pending

Traveling wave dispersal in partially sedentary age-structured populations

Frithjof Lutscher, Nguyen Van Minh, Thuc Manh Le

arxiv:1010.5686 v3 · 2010-10-27 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5GZZP7UDES3PIMFHLIIKS3TUL}

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	2026-05-18T04:36:10.185092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4d9cbff41925b7a1853ad0854b73a2f35bccf64243b41081131516b39012f6

Aliases

arxiv: 1010.5686 · arxiv_version: 1010.5686v3 · doi: 10.48550/arxiv.1010.5686 · pith_short_12: P5GZZP7UDES3 · pith_short_16: P5GZZP7UDES3PIMF · pith_short_8: P5GZZP7U

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/P5GZZP7UDES3PIMFHLIIKS3TUL \
  | 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: 7f4d9cbff41925b7a1853ad0854b73a2f35bccf64243b41081131516b39012f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e72f8a7fd546b6bdd75d5ef7703ec9b6a92ca71934b0d4343953080eb82a85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-27T13:52:40Z",
    "title_canon_sha256": "dcf71c8a0ef613060f440f7b5cb5c5c4349b4a93a004a899d74fc7cd87382e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5686",
    "kind": "arxiv",
    "version": 3
  }
}