Pith Number

pith:DHRTS66O

pith:2025:DHRTS66OQY3EWVM4NFH6WVPVLW

not attested not anchored not stored refs pending

Upper bounds on the theta function of random graphs

Uriel Feige, Vadim Grinberg

arxiv:2506.02952 v1 · 2025-06-03 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHRTS66OQY3EWVM4NFH6WVPVLW}

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	2026-07-05T11:15:12.379726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19e3397bce86364b559c694feb55f55daa7abc71478d772afb99ece3fb79804c

Aliases

arxiv: 2506.02952 · arxiv_version: 2506.02952v1 · doi: 10.48550/arxiv.2506.02952 · pith_short_12: DHRTS66OQY3E · pith_short_16: DHRTS66OQY3EWVM4 · pith_short_8: DHRTS66O

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/DHRTS66OQY3EWVM4NFH6WVPVLW \
  | 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: 19e3397bce86364b559c694feb55f55daa7abc71478d772afb99ece3fb79804c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c7e7c6f9d8f14ca432e3e92f013be98f8ff47ea260a7fa42585d5fccda9fd11",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-06-03T14:46:42Z",
    "title_canon_sha256": "bf6c86438e7b5bb06c3fdece7554398a7b7ac55964f368003d1860f1a4e080d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02952",
    "kind": "arxiv",
    "version": 1
  }
}