Pith Number

pith:LM5V5RUK

pith:2016:LM5V5RUKMC4LZUNGRZXVMEHUOA

not attested not anchored not stored refs pending

Polynomial Representations of Threshold Functions and Algorithmic Applications

Josh Alman, Ryan Williams, Timothy M. Chan

arxiv:1608.04355 v1 · 2016-08-15 · cs.DS · 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{LM5V5RUKMC4LZUNGRZXVMEHUOA}

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	2026-05-18T01:09:03.741435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3b5ec68a60b8bcd1a68e6f5610f4701a1d6ec13be2938b221d37d813287ca2

Aliases

arxiv: 1608.04355 · arxiv_version: 1608.04355v1 · doi: 10.48550/arxiv.1608.04355 · pith_short_12: LM5V5RUKMC4L · pith_short_16: LM5V5RUKMC4LZUNG · pith_short_8: LM5V5RUK

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/LM5V5RUKMC4LZUNGRZXVMEHUOA \
  | 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: 5b3b5ec68a60b8bcd1a68e6f5610f4701a1d6ec13be2938b221d37d813287ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12d6f1aabb527bb084d53501521886e783621dc62b7d0c6cfdc63d9ae866fbc",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-08-15T18:28:47Z",
    "title_canon_sha256": "7b14f7595fd04d230638a533a62f63720ae11cfd40516e9d2c4b516f75fe54b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04355",
    "kind": "arxiv",
    "version": 1
  }
}