Pith Number

pith:4QN5H4CH

pith:2015:4QN5H4CHVVXVEFKDDIAQ4MDLXX

not attested not anchored not stored refs pending

Upper bounds for number of removed edges in the Erased Configuration Model

Nelly Litvak, Pim van der Hoorn

arxiv:1507.05008 v2 · 2015-07-17 · 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{4QN5H4CHVVXVEFKDDIAQ4MDLXX}

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	2026-05-18T01:32:10.070212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41bd3f047ad6f5215431a010e306bbde3a3a9b5600ac0f5d9d6f348edca65bf

Aliases

arxiv: 1507.05008 · arxiv_version: 1507.05008v2 · doi: 10.48550/arxiv.1507.05008 · pith_short_12: 4QN5H4CHVVXV · pith_short_16: 4QN5H4CHVVXVEFKD · pith_short_8: 4QN5H4CH

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/4QN5H4CHVVXVEFKDDIAQ4MDLXX \
  | 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: e41bd3f047ad6f5215431a010e306bbde3a3a9b5600ac0f5d9d6f348edca65bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbc6fe898031f896b7c1f8f36f521f1011617b11e1efe9e4dc81d81ee7dc035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-17T16:04:47Z",
    "title_canon_sha256": "c05316a416935cde02eca1db867ce08a8232e7e0e4e07fe2556f89140e8e898c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05008",
    "kind": "arxiv",
    "version": 2
  }
}