Pith Number

pith:KW6BGE7G

pith:2018:KW6BGE7GNYP7GWTSCT2HNYAWRG

not attested not anchored not stored refs pending

The ballistic annihilation threshold is 1/4

Laurent Tournier, Vladas Sidoravicius

arxiv:1808.10731 v1 · 2018-08-31 · 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{KW6BGE7GNYP7GWTSCT2HNYAWRG}

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	2026-05-18T00:06:44.939795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bc1313e66e1ff35a7214f476e016898e4eb2f5be9c535f8fc3784688f24293

Aliases

arxiv: 1808.10731 · arxiv_version: 1808.10731v1 · doi: 10.48550/arxiv.1808.10731 · pith_short_12: KW6BGE7GNYP7 · pith_short_16: KW6BGE7GNYP7GWTS · pith_short_8: KW6BGE7G

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/KW6BGE7GNYP7GWTSCT2HNYAWRG \
  | 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: 55bc1313e66e1ff35a7214f476e016898e4eb2f5be9c535f8fc3784688f24293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af65f3d06403f731b4783cc400267e395645e512894d530c4cb10328028edcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-31T13:23:37Z",
    "title_canon_sha256": "d82958fd650e75a016afbfca3bea70d23a9b875c1a3acadc523d1a7d72ecd17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10731",
    "kind": "arxiv",
    "version": 1
  }
}