Pith Number

pith:PJQGITMQ

pith:2015:PJQGITMQCAZ6YLVJUWG634ZFSW

not attested not anchored not stored refs pending

Random walks in dynamic random environments and ancestry under local population regulation

Andrej Depperschmidt, Ji\v{r}\'i \v{C}ern\'y, Matthias Birkner

arxiv:1505.02791 v3 · 2015-05-11 · 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{PJQGITMQCAZ6YLVJUWG634ZFSW}

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	2026-05-18T01:13:09.730131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a60644d901033ec2ea9a58dedf32595b65f4c662000a522c103f82bcdac2f76

Aliases

arxiv: 1505.02791 · arxiv_version: 1505.02791v3 · doi: 10.48550/arxiv.1505.02791 · pith_short_12: PJQGITMQCAZ6 · pith_short_16: PJQGITMQCAZ6YLVJ · pith_short_8: PJQGITMQ

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/PJQGITMQCAZ6YLVJUWG634ZFSW \
  | 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: 7a60644d901033ec2ea9a58dedf32595b65f4c662000a522c103f82bcdac2f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a832174f6b1562a00c296ec39120385e2993f434028963165c7b16e356318c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-11T20:12:06Z",
    "title_canon_sha256": "ff0fe216919290778bb7f7dfedf7f42d5e5956cc84081f8cc9b852c10fe65a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02791",
    "kind": "arxiv",
    "version": 3
  }
}