Pith Number

pith:HPX3KT67

pith:2015:HPX3KT67ZNKXUGM7RUH73KIJ76

not attested not anchored not stored refs pending

Metastability for the contact process on the preferential attachment graph

Van Hao Can (I2M)

arxiv:1502.05633 v3 · 2015-02-19 · 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{HPX3KT67ZNKXUGM7RUH73KIJ76}

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	2026-05-18T00:50:13.847966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3befb54fdfcb557a199f8d0ffda909ffbe90c310dc42cd11c2b0ee4bb2212473

Aliases

arxiv: 1502.05633 · arxiv_version: 1502.05633v3 · doi: 10.48550/arxiv.1502.05633 · pith_short_12: HPX3KT67ZNKX · pith_short_16: HPX3KT67ZNKXUGM7 · pith_short_8: HPX3KT67

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/HPX3KT67ZNKXUGM7RUH73KIJ76 \
  | 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: 3befb54fdfcb557a199f8d0ffda909ffbe90c310dc42cd11c2b0ee4bb2212473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5d966d1d33dd5d4fd27eefb5eeecde561afd8bd1080dcd1ec5cbffd9a22019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-19T17:20:28Z",
    "title_canon_sha256": "784b4963bdb5423b188ed44340da7b78c76db6146a170a901fe5d8c7e51c540d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05633",
    "kind": "arxiv",
    "version": 3
  }
}