Pith Number

pith:HIFTA6CQ

pith:2021:HIFTA6CQGDKEQQG7EGLEUGYCZX

not attested not anchored not stored refs pending

Sum-of-Squares Lower Bounds for Sparse Independent Set

Aaron Potechin, Chris Jones, Goutham Rajendran, Jeff Xu, Madhur Tulsiani

arxiv:2111.09250 v1 · 2021-11-17 · 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{HIFTA6CQGDKEQQG7EGLEUGYCZX}

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	2026-07-05T03:32:59.652038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0b30785030d44840df21964a1b02cdc7c95eb608ad3a925bbd38cfd9d0b6f6

Aliases

arxiv: 2111.09250 · arxiv_version: 2111.09250v1 · doi: 10.48550/arxiv.2111.09250 · pith_short_12: HIFTA6CQGDKE · pith_short_16: HIFTA6CQGDKEQQG7 · pith_short_8: HIFTA6CQ

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/HIFTA6CQGDKEQQG7EGLEUGYCZX \
  | 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: 3a0b30785030d44840df21964a1b02cdc7c95eb608ad3a925bbd38cfd9d0b6f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca64e77e79f3526a79210c18af999f03dba34bf85f7d10a80b5419e79cef0e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-11-17T17:31:25Z",
    "title_canon_sha256": "1ab2c24dc01499e0edbe39b754e3a378f20aa5c5af732300ee1eba88011a7a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09250",
    "kind": "arxiv",
    "version": 1
  }
}