Pith Number

pith:X3F4QCRE

pith:2016:X3F4QCREQ7PIVC7Q67BR7XLOUF

not attested not anchored not stored refs pending

Removal Lemmas with Polynomial Bounds

Asaf Shapira, Lior Gishboliner

arxiv:1611.10315 v1 · 2016-11-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3F4QCREQ7PIVC7Q67BR7XLOUF}

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	2026-05-18T00:56:10.767435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becbc80a2487de8a8bf0f7c31fdd6ea1453b6e69ea34743c29b52efbfa5960e5

Aliases

arxiv: 1611.10315 · arxiv_version: 1611.10315v1 · doi: 10.48550/arxiv.1611.10315 · pith_short_12: X3F4QCREQ7PI · pith_short_16: X3F4QCREQ7PIVC7Q · pith_short_8: X3F4QCRE

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/X3F4QCREQ7PIVC7Q67BR7XLOUF \
  | 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: becbc80a2487de8a8bf0f7c31fdd6ea1453b6e69ea34743c29b52efbfa5960e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20936c53b1ce254470aa44e4c9992e67ccefc205f7ca71e539f06eafa2f4d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-30T19:07:57Z",
    "title_canon_sha256": "95453e52abb4da1ee873ec87e4434667bfd2df8cff3564631803629cb2ec195f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10315",
    "kind": "arxiv",
    "version": 1
  }
}