Pith Number

pith:XYRN6NHI

pith:2018:XYRN6NHI35QYHTQ23YUHRNFS3H

not attested not anchored not stored refs pending

Distances and large deviations in the spatial preferential attachment model

Christian Hirsch, Christian M\"onch

arxiv:1809.09956 v2 · 2018-09-26 · 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{XYRN6NHI35QYHTQ23YUHRNFS3H}

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	2026-05-18T00:04:38.978304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be22df34e8df6183ce1ade2878b4b2d9cf3bda90bdefb49d4660f2ac69980e59

Aliases

arxiv: 1809.09956 · arxiv_version: 1809.09956v2 · doi: 10.48550/arxiv.1809.09956 · pith_short_12: XYRN6NHI35QY · pith_short_16: XYRN6NHI35QYHTQ2 · pith_short_8: XYRN6NHI

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/XYRN6NHI35QYHTQ23YUHRNFS3H \
  | 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: be22df34e8df6183ce1ade2878b4b2d9cf3bda90bdefb49d4660f2ac69980e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bdc71613b1831fac9b4ef6b8dae0de31bdb2f70722ff32a9376426773fd2e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-26T13:09:03Z",
    "title_canon_sha256": "4d743d400235b1a2c19bca6029d16f4c32408d8798c5e96ace15917141253af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09956",
    "kind": "arxiv",
    "version": 2
  }
}