Pith Number

pith:HHGNX73H

pith:2013:HHGNX73HKY4SQOG7XO67EMMZAX

not attested not anchored not stored refs pending

Extremality Properties for the Basic Polarization Transformations

Mine Alsan

arxiv:1301.5258 v1 · 2013-01-22 · 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{HHGNX73HKY4SQOG7XO67EMMZAX}

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	2026-05-18T03:35:52.470463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ccdbff6756392838dfbbbdf2319905ec77b061683b55f3a9890814380410fb

Aliases

arxiv: 1301.5258 · arxiv_version: 1301.5258v1 · doi: 10.48550/arxiv.1301.5258 · pith_short_12: HHGNX73HKY4S · pith_short_16: HHGNX73HKY4SQOG7 · pith_short_8: HHGNX73H

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/HHGNX73HKY4SQOG7XO67EMMZAX \
  | 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: 39ccdbff6756392838dfbbbdf2319905ec77b061683b55f3a9890814380410fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d655fbe2cf0a49f98b1a725a1549e60212a5dfdc6e521c5cb655cbaa5a013415",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-22T18:03:38Z",
    "title_canon_sha256": "c4c5ca67c9011d4b678039e251e9531ed11badfb747ad0a798995682081d8af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5258",
    "kind": "arxiv",
    "version": 1
  }
}