Pith Number

pith:QEX6Y2Z2

pith:2010:QEX6Y2Z2D4QUKAYZKZQEXPAB7L

not attested not anchored not stored refs pending

Constructing elusive functions with help of evaluation mappings

Hong Van Le

arxiv:1011.2887 v6 · 2010-11-12 · math.LO · 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{QEX6Y2Z2D4QUKAYZKZQEXPAB7L}

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	2026-05-18T02:41:50.690922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812fec6b3a1f2145031956604bbc01fad6313c501d79dc12b92b856c7c9ed68d

Aliases

arxiv: 1011.2887 · arxiv_version: 1011.2887v6 · doi: 10.48550/arxiv.1011.2887 · pith_short_12: QEX6Y2Z2D4QU · pith_short_16: QEX6Y2Z2D4QUKAYZ · pith_short_8: QEX6Y2Z2

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/QEX6Y2Z2D4QUKAYZKZQEXPAB7L \
  | 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: 812fec6b3a1f2145031956604bbc01fad6313c501d79dc12b92b856c7c9ed68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f132f07de620458dd7b87f1e52f5e9238729be1303f633cada8b29d6716e77",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-11-12T11:44:54Z",
    "title_canon_sha256": "e8cdaae10e9870a5f31c3d07fb007bac04e7c05709618013393dbdb23a1ab5f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2887",
    "kind": "arxiv",
    "version": 6
  }
}