Pith Number

pith:ZGQVMAJI

pith:2019:ZGQVMAJIIJX64WZEN7M6ZDMS2H

not attested not anchored not stored refs pending

Bounds on expected propagation time of probabilistic zero forcing

Alec Sun, Shyam Narayanan

arxiv:1909.04482 v3 · 2019-09-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGQVMAJIIJX64WZEN7M6ZDMS2H}

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	2026-06-25T00:18:10.194400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a1560128426fee5b246fd9ec8d92d1cc2e2787b247d0a6e338b1174dc39a37

Aliases

arxiv: 1909.04482 · arxiv_version: 1909.04482v3 · doi: 10.48550/arxiv.1909.04482 · pith_short_12: ZGQVMAJIIJX6 · pith_short_16: ZGQVMAJIIJX64WZE · pith_short_8: ZGQVMAJI

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/ZGQVMAJIIJX64WZEN7M6ZDMS2H \
  | 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: c9a1560128426fee5b246fd9ec8d92d1cc2e2787b247d0a6e338b1174dc39a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855f4de469bc0813e0b565bffee1cb2a02e4d66911b80aee1852ad6929c97296",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-10T13:52:16Z",
    "title_canon_sha256": "0986b9b07a7be248c008a73cc14cb0f6c76e323f755fcea4f506a85d6d5d4b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04482",
    "kind": "arxiv",
    "version": 3
  }
}