Pith Number

pith:DMQKK4UI

pith:2017:DMQKK4UIJKBQVXFRF642TTEZR4

not attested not anchored not stored refs pending

Strong Functional Representation Lemma and Applications to Coding Theorems

Abbas El Gamal, Cheuk Ting Li

arxiv:1701.02827 v4 · 2017-01-11 · 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{DMQKK4UIJKBQVXFRF642TTEZR4}

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	2026-05-17T23:58:50.387211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b20a572884a830adcb12fb9a9cc998f1fb4e5bb85cbc285d1f55ea0ed6217e7

Aliases

arxiv: 1701.02827 · arxiv_version: 1701.02827v4 · doi: 10.48550/arxiv.1701.02827 · pith_short_12: DMQKK4UIJKBQ · pith_short_16: DMQKK4UIJKBQVXFR · pith_short_8: DMQKK4UI

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/DMQKK4UIJKBQVXFRF642TTEZR4 \
  | 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: 1b20a572884a830adcb12fb9a9cc998f1fb4e5bb85cbc285d1f55ea0ed6217e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f57c992ac4bb19ccbf434a39520c2da742c0154aadbb0fd7df2f514a7b17912",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-11T02:10:17Z",
    "title_canon_sha256": "cf2c3691d25c3518d66a3cd715053d4b0302b2b349c2682e540e510f4fbc3cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02827",
    "kind": "arxiv",
    "version": 4
  }
}