Pith Number

pith:EOYIMRKS

pith:2011:EOYIMRKS3EQE57R4WJBWYO6S5Y

not attested not anchored not stored refs pending

Randomness and dependencies extraction via polarization, with applications to Slepian-Wolf coding and secrecy

Emmanuel Abbe

arxiv:1102.1247 v2 · 2011-02-07 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOYIMRKS3EQE57R4WJBWYO6S5Y}

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	2026-05-18T02:37:52.391689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b0864552d9204efe3cb2436c3bd2ee019433bd86afb60a1e376de2214b2cff

Aliases

arxiv: 1102.1247 · arxiv_version: 1102.1247v2 · doi: 10.48550/arxiv.1102.1247 · pith_short_12: EOYIMRKS3EQE · pith_short_16: EOYIMRKS3EQE57R4 · pith_short_8: EOYIMRKS

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/EOYIMRKS3EQE57R4WJBWYO6S5Y \
  | 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: 23b0864552d9204efe3cb2436c3bd2ee019433bd86afb60a1e376de2214b2cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcae79686c3aca1269ca4e8b91c392ac4f593897356232027498485ea907d1c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-07T08:59:16Z",
    "title_canon_sha256": "158bc6b5edc258098ce2bf681c93e12e603194b4e2a95cc4d0c3f4a385c9288b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1247",
    "kind": "arxiv",
    "version": 2
  }
}