Pith Number

pith:DUJ6SHEZ

pith:2015:DUJ6SHEZO6SQLZV2VY2Z3X2SYX

not attested not anchored not stored refs pending

Extremal Bounds for Bootstrap Percolation in the Hypercube

Jonathan A. Noel, Natasha Morrison

arxiv:1506.04686 v2 · 2015-06-15 · math.CO

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

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	2026-05-18T00:31:31.835400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d13e91c9977a505e6baae359ddf52c5e1948f179e4dfa74103cf739baff78e7

Aliases

arxiv: 1506.04686 · arxiv_version: 1506.04686v2 · doi: 10.48550/arxiv.1506.04686 · pith_short_12: DUJ6SHEZO6SQ · pith_short_16: DUJ6SHEZO6SQLZV2 · pith_short_8: DUJ6SHEZ

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/DUJ6SHEZO6SQLZV2VY2Z3X2SYX \
  | 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: 1d13e91c9977a505e6baae359ddf52c5e1948f179e4dfa74103cf739baff78e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a481ace23ecd22971b44b8fc670e780ff539018619c1aa4206999d97017876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-15T18:03:53Z",
    "title_canon_sha256": "d4795af77fe7b05272835b0e404fbab3bb00d5e5dac5d26e5d5369e53a00c433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04686",
    "kind": "arxiv",
    "version": 2
  }
}