Pith Number

pith:SYG7U3SN

pith:2015:SYG7U3SNNH52YTKSLJHOSEJPD7

not attested not anchored not stored refs pending

Concentration of the number of solutions of random planted CSPs and Goldreich's one-way candidates

Emmanuel Abbe, Katherine Edwards

arxiv:1504.08316 v1 · 2015-04-30 · math.PR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYG7U3SNNH52YTKSLJHOSEJPD7}

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	2026-05-18T02:17:22.652972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

960dfa6e4d69fbac4d525a4ee9112f1ff90b3ee5b0bb2802003edfd05c08dab4

Aliases

arxiv: 1504.08316 · arxiv_version: 1504.08316v1 · doi: 10.48550/arxiv.1504.08316 · pith_short_12: SYG7U3SNNH52 · pith_short_16: SYG7U3SNNH52YTKS · pith_short_8: SYG7U3SN

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/SYG7U3SNNH52YTKSLJHOSEJPD7 \
  | 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: 960dfa6e4d69fbac4d525a4ee9112f1ff90b3ee5b0bb2802003edfd05c08dab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab0c7c91c24031b0a477de40a4b28eb01a70af300cfbfaa43aea910da6f0c95",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-30T17:48:21Z",
    "title_canon_sha256": "45e65e1ee96da94d44842e33a9bf3e7164b9ada24cf84dd4ca64a01da2f4bce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08316",
    "kind": "arxiv",
    "version": 1
  }
}