Pith Number

pith:ZLQQ2VWD

pith:2013:ZLQQ2VWD6S5V7JMPODKBMCB7OB

not attested not anchored not stored refs pending

Macroscale, slowly varying, models emerge from the microscale dynamics in long thin domains

A. J. Roberts

arxiv:1310.1541 v2 · 2013-10-06 · 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{ZLQQ2VWD6S5V7JMPODKBMCB7OB}

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	2026-05-18T03:05:17.994144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae10d56c3f4bb5fa58f70d416083f707f829a806f9f4c6b2eafc065b1f9792a

Aliases

arxiv: 1310.1541 · arxiv_version: 1310.1541v2 · doi: 10.48550/arxiv.1310.1541 · pith_short_12: ZLQQ2VWD6S5V · pith_short_16: ZLQQ2VWD6S5V7JMP · pith_short_8: ZLQQ2VWD

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/ZLQQ2VWD6S5V7JMPODKBMCB7OB \
  | 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: cae10d56c3f4bb5fa58f70d416083f707f829a806f9f4c6b2eafc065b1f9792a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32b02d02551082241f7f6275cf80d92ca000124a6e789caf4e92201abbba08f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-06T05:03:22Z",
    "title_canon_sha256": "6ca7e06537a708aa7d0c8001ae94e8cdd4f0fcf3cba513cb6c5e11da99afce24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1541",
    "kind": "arxiv",
    "version": 2
  }
}