Pith Number

pith:QJK6T5SQ

pith:2018:QJK6T5SQWSRJ5FWZUPVFL6ZRKH

not attested not anchored not stored refs pending

Leader formation with mean-field birth and death models

Francesco Rossi, Francesco Solombrino, Giacomo Albi, Mattia Bongini

arxiv:1812.07074 v1 · 2018-12-17 · math.AP · math.DS · math.NA · 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{QJK6T5SQWSRJ5FWZUPVFL6ZRKH}

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	2026-05-17T23:58:08.086892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8255e9f650b4a29e96d9a3ea55fb3151ec33059c3c81a61f7bd5783d16ea58af

Aliases

arxiv: 1812.07074 · arxiv_version: 1812.07074v1 · doi: 10.48550/arxiv.1812.07074 · pith_short_12: QJK6T5SQWSRJ · pith_short_16: QJK6T5SQWSRJ5FWZ · pith_short_8: QJK6T5SQ

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/QJK6T5SQWSRJ5FWZUPVFL6ZRKH \
  | 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: 8255e9f650b4a29e96d9a3ea55fb3151ec33059c3c81a61f7bd5783d16ea58af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f4fe67d91f79a66e203c2f674bd0a38908c8f969f93dbb13c6a0de096802bd",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-17T22:21:09Z",
    "title_canon_sha256": "10e56250826b31cefcc5d6d81d9f9b9ddff11a7ccf927fe43ce0deb88b0a10d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07074",
    "kind": "arxiv",
    "version": 1
  }
}