Pith Number

pith:PGBYMZCH

pith:2015:PGBYMZCHVQLRTTS3XRDQDU6J6Q

not attested not anchored not stored refs pending

Generalized Polarization Modules

Hector Blandin

arxiv:1504.07318 v2 · 2015-04-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGBYMZCHVQLRTTS3XRDQDU6J6Q}

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	2026-05-18T00:45:08.718328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7983866447ac1719ce5bbc4701d3c9f438928c96a49ae0a44ab454ae6636afc1

Aliases

arxiv: 1504.07318 · arxiv_version: 1504.07318v2 · doi: 10.48550/arxiv.1504.07318 · pith_short_12: PGBYMZCHVQLR · pith_short_16: PGBYMZCHVQLRTTS3 · pith_short_8: PGBYMZCH

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/PGBYMZCHVQLRTTS3XRDQDU6J6Q \
  | 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: 7983866447ac1719ce5bbc4701d3c9f438928c96a49ae0a44ab454ae6636afc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f70358d36b14bd362c977219e203480723dd379ffaa2805e09cf87c794f850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-28T00:51:55Z",
    "title_canon_sha256": "ebb1c7552934444c6237da02d1b2a443a92465cc7eff786b0fb9bc835e2d6ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07318",
    "kind": "arxiv",
    "version": 2
  }
}