Pith Number

pith:XRZGNKFP

pith:2015:XRZGNKFPZRCEG2W4TQARCZIBJL

not attested not anchored not stored refs pending

A new look at duality for the symbiotic branching model

Florian V\"ollering, Marcel Ortgiese, Matthias Hammer

arxiv:1509.00354 v2 · 2015-09-01 · 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{XRZGNKFPZRCEG2W4TQARCZIBJL}

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	2026-05-18T01:04:05.853060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7266a8afcc44436adc9c011165014ad9205f661825fd4f8de706dacc20c810

Aliases

arxiv: 1509.00354 · arxiv_version: 1509.00354v2 · doi: 10.48550/arxiv.1509.00354 · pith_short_12: XRZGNKFPZRCE · pith_short_16: XRZGNKFPZRCEG2W4 · pith_short_8: XRZGNKFP

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/XRZGNKFPZRCEG2W4TQARCZIBJL \
  | 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: bc7266a8afcc44436adc9c011165014ad9205f661825fd4f8de706dacc20c810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c5d3092d5f743436e496cbc42a57474c92c165a6c447431e191e07a6ebb035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-01T15:29:00Z",
    "title_canon_sha256": "c994b880ae16578911f465723b71c0bb5c6c5a10ebbe1f404a2d97d1a3f280dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00354",
    "kind": "arxiv",
    "version": 2
  }
}