Pith Number

pith:MV7CTXVQ

pith:2016:MV7CTXVQEBX5IZBMPQZAUDDW2M

not attested not anchored not stored refs pending

Random simplicial complexes - around the phase transition

Nati Linial, Yuval Peled

arxiv:1609.00914 v1 · 2016-09-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MV7CTXVQEBX5IZBMPQZAUDDW2M}

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	2026-05-18T01:06:19.562732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657e29deb0206fd4642c7c320a0c76d312346ad9b549247fee07f4daa1dec947

Aliases

arxiv: 1609.00914 · arxiv_version: 1609.00914v1 · doi: 10.48550/arxiv.1609.00914 · pith_short_12: MV7CTXVQEBX5 · pith_short_16: MV7CTXVQEBX5IZBM · pith_short_8: MV7CTXVQ

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/MV7CTXVQEBX5IZBMPQZAUDDW2M \
  | 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: 657e29deb0206fd4642c7c320a0c76d312346ad9b549247fee07f4daa1dec947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee7f4ce1a9c55a555c66aa6441fd0e25a13550e0aab7ece0582f9d079424f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-04T10:35:38Z",
    "title_canon_sha256": "8884990f7ccbabd4c88b1cb363cc86bce752b75f0a11e9e80f2c57b584e4963f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00914",
    "kind": "arxiv",
    "version": 1
  }
}