Pith Number

pith:FW33EZRJ

pith:2016:FW33EZRJELMR2ZOVUZIRFE3VB6

not attested not anchored not stored refs pending

Non-extensive condensation in reinforced branching processes

Cecile Mailler, Peter Morters, Steffen Dereich

arxiv:1601.08128 v2 · 2016-01-29 · 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{FW33EZRJELMR2ZOVUZIRFE3VB6}

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	2026-05-18T00:51:51.920812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db7b2662922d91d65d5a6511293750f9c095257734decc3a66a3a003ba57a20

Aliases

arxiv: 1601.08128 · arxiv_version: 1601.08128v2 · doi: 10.48550/arxiv.1601.08128 · pith_short_12: FW33EZRJELMR · pith_short_16: FW33EZRJELMR2ZOV · pith_short_8: FW33EZRJ

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/FW33EZRJELMR2ZOVUZIRFE3VB6 \
  | 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: 2db7b2662922d91d65d5a6511293750f9c095257734decc3a66a3a003ba57a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e35fe0408df1d3156b1c23104cf177c0ee693bce9e194f946ef491f5e59c07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-29T14:31:33Z",
    "title_canon_sha256": "25081546eac45a3e4922c0e636be6a293ef42bf1e57e638aa12e71482b70d5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08128",
    "kind": "arxiv",
    "version": 2
  }
}