Pith Number

pith:AXVFCU4Y

pith:2014:AXVFCU4YCFPYDZDHNELNHYP6KM

not attested not anchored not stored refs pending

Umbral Moonshine and K3 Surfaces

Miranda C. N. Cheng, Sarah Harrison

arxiv:1406.0619 v4 · 2014-06-03 · hep-th · math.AG · 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{AXVFCU4YCFPYDZDHNELNHYP6KM}

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	2026-05-18T00:40:08.735238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ea515398115f81e4676916d3e1fe5305f6f14c257e839692eafa188ef7daff

Aliases

arxiv: 1406.0619 · arxiv_version: 1406.0619v4 · doi: 10.48550/arxiv.1406.0619 · pith_short_12: AXVFCU4YCFPY · pith_short_16: AXVFCU4YCFPYDZDH · pith_short_8: AXVFCU4Y

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/AXVFCU4YCFPYDZDHNELNHYP6KM \
  | 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: 05ea515398115f81e4676916d3e1fe5305f6f14c257e839692eafa188ef7daff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebfae16edc3038d354b538b805cb68789f6f918c302502197e41c859d5cd691",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-03T08:18:58Z",
    "title_canon_sha256": "205cb292da52622b5fa60c597ea9b6cab23b2fb0e47fe590bc4cad96e3d125dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0619",
    "kind": "arxiv",
    "version": 4
  }
}