Pith Number

pith:7XHL2HYE

pith:2016:7XHL2HYE5IRLT4RNINOQKJ6OCA

not attested not anchored not stored refs pending

Connectivity properties of Branching Interlacements

Eviatar B. Procaccia, Yuan Zhang

arxiv:1612.00406 v1 · 2016-12-01 · 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{7XHL2HYE5IRLT4RNINOQKJ6OCA}

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	2026-05-18T00:56:05.297209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdcebd1f04ea22b9f22d435d0527ce10031cb8efbbbc1a6cb34f85b6c6221d33

Aliases

arxiv: 1612.00406 · arxiv_version: 1612.00406v1 · doi: 10.48550/arxiv.1612.00406 · pith_short_12: 7XHL2HYE5IRL · pith_short_16: 7XHL2HYE5IRLT4RN · pith_short_8: 7XHL2HYE

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/7XHL2HYE5IRLT4RNINOQKJ6OCA \
  | 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: fdcebd1f04ea22b9f22d435d0527ce10031cb8efbbbc1a6cb34f85b6c6221d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a33aab3b36761f1582d15327bc3dbd589fb560ac5785e1d3d42c3551b10ae4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-01T20:08:14Z",
    "title_canon_sha256": "52b31337c4d3d3522b118624529f158f9046c3fe619262ad291271bdba9b6e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00406",
    "kind": "arxiv",
    "version": 1
  }
}