Pith Number

pith:FS5JRNWH

pith:2016:FS5JRNWHPV55342KM4R2LYMQCY

not attested not anchored not stored refs pending

Better bounds for coalescing-branching random walks

Michael Mitzenmacher, Rajmohan Rajaraman, Scott Roche

arxiv:1603.06109 v1 · 2016-03-19 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FS5JRNWHPV55342KM4R2LYMQCY}

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	2026-05-18T01:18:51.780782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cba98b6c77d7bddf34a6723a5e190160547a8f1b2b28faac6931497897ccee5

Aliases

arxiv: 1603.06109 · arxiv_version: 1603.06109v1 · doi: 10.48550/arxiv.1603.06109 · pith_short_12: FS5JRNWHPV55 · pith_short_16: FS5JRNWHPV55342K · pith_short_8: FS5JRNWH

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/FS5JRNWHPV55342KM4R2LYMQCY \
  | 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: 2cba98b6c77d7bddf34a6723a5e190160547a8f1b2b28faac6931497897ccee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d25a874838d807bb50fd60d4d11c00923a65612e8eb2ca581f4f4aeb2746b75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-03-19T16:04:21Z",
    "title_canon_sha256": "77ca21ba823447aa926e6cf201239bbd3675f99cc1e2c1456b94160f22165243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06109",
    "kind": "arxiv",
    "version": 1
  }
}