Pith Number

pith:KNDXRIFI

pith:2015:KNDXRIFIUF2EVTEKQWLNS6Y4PD

not attested not anchored not stored refs pending

Strange Duality of Verlinde spaces for G_2 and F_4

Swarnava Mukhopadhyay

arxiv:1504.03757 v2 · 2015-04-15 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNDXRIFIUF2EVTEKQWLNS6Y4PD}

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	2026-05-18T02:18:40.169169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534778a0a8a1744acc8a8596d97b1c78fc54fbe5df003107f1b9fa23cf4827d6

Aliases

arxiv: 1504.03757 · arxiv_version: 1504.03757v2 · doi: 10.48550/arxiv.1504.03757 · pith_short_12: KNDXRIFIUF2E · pith_short_16: KNDXRIFIUF2EVTEK · pith_short_8: KNDXRIFI

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/KNDXRIFIUF2EVTEKQWLNS6Y4PD \
  | 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: 534778a0a8a1744acc8a8596d97b1c78fc54fbe5df003107f1b9fa23cf4827d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692826f48af78a2629f391b2ffec719bd9f572229132e2955a3efa309e6078b2",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-15T01:27:16Z",
    "title_canon_sha256": "0301506831ddf22e6cb23fcaa25db1270f366099b2e5c85cf3b375c0da6c2dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03757",
    "kind": "arxiv",
    "version": 2
  }
}