Pith Number

pith:LWN4IZDM

pith:2011:LWN4IZDMNY74YENWIY6YLVKHET

not attested not anchored not stored refs pending

Hyperbolic traveling waves driven by growth

Emeric Bouin (UMPA-ENSL, Gr\'egoire Nadin (LJLL), NUMED), Vincent Calvez (UMPA-ENSL

arxiv:1110.3242 v2 · 2011-10-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWN4IZDMNY74YENWIY6YLVKHET}

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	2026-05-18T00:57:38.704509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9bc4646c6e3fcc11b6463d85d54724d39bcc599842e0e6bbe7b371f8311ec1

Aliases

arxiv: 1110.3242 · arxiv_version: 1110.3242v2 · doi: 10.48550/arxiv.1110.3242 · pith_short_12: LWN4IZDMNY74 · pith_short_16: LWN4IZDMNY74YENW · pith_short_8: LWN4IZDM

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/LWN4IZDMNY74YENWIY6YLVKHET \
  | 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: 5d9bc4646c6e3fcc11b6463d85d54724d39bcc599842e0e6bbe7b371f8311ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e384789b8f8d8275b805d683f82b18d9d0f6a4fe0e714da9c380a7287db758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-14T15:13:37Z",
    "title_canon_sha256": "d7b6e97368f82aa362c0ab3835575dfdfe5030fb0eac040d66bbcf4d323f61ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3242",
    "kind": "arxiv",
    "version": 2
  }
}