Pith Number

pith:HUYQXSVW

pith:2026:HUYQXSVWCFC4JNROU5YT52CXV4

not attested not anchored not stored refs pending

Vertex reinforced branching random walks and generalized time-dependent Polya urns

Bruno Schapira

arxiv:2607.16707 v1 · 2026-07-18 · 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{HUYQXSVWCFC4JNROU5YT52CXV4}

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	2026-07-21T01:20:23.013023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d310bcab61145c4b62ea7713ee857af2d17c8ef136e647e9818c464037b05d2

Aliases

arxiv: 2607.16707 · arxiv_version: 2607.16707v1 · doi: 10.48550/arxiv.2607.16707 · pith_short_12: HUYQXSVWCFC4 · pith_short_16: HUYQXSVWCFC4JNRO · pith_short_8: HUYQXSVW

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/HUYQXSVWCFC4JNROU5YT52CXV4 \
  | 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: 3d310bcab61145c4b62ea7713ee857af2d17c8ef136e647e9818c464037b05d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c97e78e311c2e2200965609ddf18b18ee5bfe817e2f21b4d49452036f7c665",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-18T08:45:17Z",
    "title_canon_sha256": "bdce04d2c1e2149367628cdf5d9af249ee8f35a2af119728ae45561cc2e5970e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16707",
    "kind": "arxiv",
    "version": 1
  }
}