Pith Number

pith:JJ3LG2K4

pith:2014:JJ3LG2K4PBBRL2FYVTW33FHIK6

not attested not anchored not stored refs pending

Universal Source Polarization and an Application to a Multi-User Problem

Alexander Barg, Min Ye

arxiv:1408.6824 v2 · 2014-08-28 · 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{JJ3LG2K4PBBRL2FYVTW33FHIK6}

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	2026-05-18T02:41:41.045103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a76b3695c784315e8b8acedbd94e8579cbaa7e9fe8e9a9943a9e43f6b4e4e66

Aliases

arxiv: 1408.6824 · arxiv_version: 1408.6824v2 · doi: 10.48550/arxiv.1408.6824 · pith_short_12: JJ3LG2K4PBBR · pith_short_16: JJ3LG2K4PBBRL2FY · pith_short_8: JJ3LG2K4

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/JJ3LG2K4PBBRL2FYVTW33FHIK6 \
  | 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: 4a76b3695c784315e8b8acedbd94e8579cbaa7e9fe8e9a9943a9e43f6b4e4e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbbc00b1c2ebe37e9735070697f48d10b602cb4d3a6f651ce53f9e6a64832fe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-08-28T19:45:58Z",
    "title_canon_sha256": "97b6ab8e34898bc6dbae95715ad259ef21298b7c2c316370a3a8237cdbe6cfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6824",
    "kind": "arxiv",
    "version": 2
  }
}