Pith Number

pith:75MAGVDD

pith:2017:75MAGVDD3T7CMCRPF2FGI4HHOF

not attested not anchored not stored refs pending

Shifting the Phase Transition Threshold for Random Graphs and 2-SAT using Degree Constraints

Sergey Dovgal, Vlady Ravelomanana

arxiv:1704.06683 v3 · 2017-04-21 · math.CO · cs.DS · cs.LO · 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{75MAGVDD3T7CMCRPF2FGI4HHOF}

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	2026-05-18T00:27:36.250514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff58035463dcfe260a2f2e8a6470e77142e41391aa13d08e0738dc80a097b523

Aliases

arxiv: 1704.06683 · arxiv_version: 1704.06683v3 · doi: 10.48550/arxiv.1704.06683 · pith_short_12: 75MAGVDD3T7C · pith_short_16: 75MAGVDD3T7CMCRP · pith_short_8: 75MAGVDD

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/75MAGVDD3T7CMCRPF2FGI4HHOF \
  | 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: ff58035463dcfe260a2f2e8a6470e77142e41391aa13d08e0738dc80a097b523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5526c478ec15bf0606568371e6979d7731e4be86407d79e36ebd268319babb40",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-21T19:08:22Z",
    "title_canon_sha256": "e043bed4ffc1742c604498d1c0fe1d7a0f967a62a3c4a69ccaa6cb773c350724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06683",
    "kind": "arxiv",
    "version": 3
  }
}