Pith Number

pith:DHKGFM4S

pith:2013:DHKGFM4SM7FIILHHZXEOAOAXCQ

not attested not anchored not stored refs pending

Vertex Operator Superalgebras and Odd Trace Functions

Jethro van Ekeren

arxiv:1307.4114 v1 · 2013-07-15 · 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{DHKGFM4SM7FIILHHZXEOAOAXCQ}

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	2026-05-18T03:18:19.654918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d462b39267ca842ce7cdc8e03817143a5dbcf4b14cfedbbe868fdcc988717f

Aliases

arxiv: 1307.4114 · arxiv_version: 1307.4114v1 · doi: 10.48550/arxiv.1307.4114 · pith_short_12: DHKGFM4SM7FI · pith_short_16: DHKGFM4SM7FIILHH · pith_short_8: DHKGFM4S

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/DHKGFM4SM7FIILHHZXEOAOAXCQ \
  | 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: 19d462b39267ca842ce7cdc8e03817143a5dbcf4b14cfedbbe868fdcc988717f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0f75167352bce0536a58902c580d2ea449aea0bc41f2aaf835f3e0291883b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-07-15T22:02:57Z",
    "title_canon_sha256": "db8f4d503acdb9e5c7566159709a056b318ae2b21be56fe94d7601ee5bde0785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4114",
    "kind": "arxiv",
    "version": 1
  }
}