Pith Number

pith:XTIFBKYJ

pith:2014:XTIFBKYJJEKH4SOPJ6TKPDLEXT

not attested not anchored not stored refs pending

Three tutorial lectures on entropy and counting

David Galvin

arxiv:1406.7872 v1 · 2014-06-30 · 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{XTIFBKYJJEKH4SOPJ6TKPDLEXT}

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.

Cited by

1 paper in Pith

Non-Adaptive Cryptanalytic Time-Space Lower Bounds via a Shearer-like Inequality for Permutations

Receipt and verification

First computed	2026-05-18T02:48:43.957846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd050ab0949147e49cf4fa6a78d64bcf7045344416260437d836532c0db9b51

Aliases

arxiv: 1406.7872 · arxiv_version: 1406.7872v1 · doi: 10.48550/arxiv.1406.7872 · pith_short_12: XTIFBKYJJEKH · pith_short_16: XTIFBKYJJEKH4SOP · pith_short_8: XTIFBKYJ

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/XTIFBKYJJEKH4SOPJ6TKPDLEXT \
  | 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: bcd050ab0949147e49cf4fa6a78d64bcf7045344416260437d836532c0db9b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da0f07924f5ef14e8a248515d1703fe29864a4b1ec9de7a50dc772694ba0c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-30T19:49:26Z",
    "title_canon_sha256": "d1ac373ecad3ffaa928ce0f559268e4c6bb257734e4d04d6431a1674dd0b4030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7872",
    "kind": "arxiv",
    "version": 1
  }
}