Pith Number

pith:JDMQFWLL

pith:2019:JDMQFWLLZQKKMGCQDARUYCQC7O

not attested not anchored not stored refs pending

Twisted characters and holomorphic symmetries

Brian R. Williams, Ingmar Saberi

arxiv:1906.04221 v1 · 2019-06-10 · math-ph · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDMQFWLLZQKKMGCQDARUYCQC7O}

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	2026-07-05T01:29:38.124459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d902d96bcc14a6185018234c0a02fba2b2e6ac5084f85223c671b2ab2da8e0

Aliases

arxiv: 1906.04221 · arxiv_version: 1906.04221v1 · doi: 10.48550/arxiv.1906.04221 · pith_short_12: JDMQFWLLZQKK · pith_short_16: JDMQFWLLZQKKMGCQ · pith_short_8: JDMQFWLL

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/JDMQFWLLZQKKMGCQDARUYCQC7O \
  | 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: 48d902d96bcc14a6185018234c0a02fba2b2e6ac5084f85223c671b2ab2da8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c18053b02fe8895aa13ac95aef35cec33b0d529ce669935b53a5cdfffeb76ac",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-10T18:31:42Z",
    "title_canon_sha256": "5a7db1a74ec7ffb7fab128b405da2c0db44b69e5c3c3ff1a0b53ce88700cec1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04221",
    "kind": "arxiv",
    "version": 1
  }
}