Pith Number

pith:VCTGGDHP

pith:2015:VCTGGDHPYCDKIWSYHQVZAF556F

not attested not anchored not stored refs pending

Multi-type spatial branching models for local self-regulation I: Construction and an exponential duality

Andreas Greven, Anita Winter, Anja Sturm, Iljana Z\"ahle

arxiv:1509.04023 v1 · 2015-09-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCTGGDHPYCDKIWSYHQVZAF556F}

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.

Cited by

1 paper in Pith

Positive Markov processes in Laplace duality

Receipt and verification

First computed	2026-05-18T01:33:08.458506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a6630cefc086a45a583c2b9017bdf1682caf18bdc3eaa9975599837f825aba

Aliases

arxiv: 1509.04023 · arxiv_version: 1509.04023v1 · doi: 10.48550/arxiv.1509.04023 · pith_short_12: VCTGGDHPYCDK · pith_short_16: VCTGGDHPYCDKIWSY · pith_short_8: VCTGGDHP

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/VCTGGDHPYCDKIWSYHQVZAF556F \
  | 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: a8a6630cefc086a45a583c2b9017bdf1682caf18bdc3eaa9975599837f825aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd8c9033053b2df2bbfc3892cf2342748ad875074fae6dd87d7d5df0b7c6a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-14T10:32:55Z",
    "title_canon_sha256": "6352599bd27660204a85986ef1e6b47456d88e8ff605fa2fc5ba89aeb907e4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04023",
    "kind": "arxiv",
    "version": 1
  }
}