Pith Number

pith:MFHCPPO3

pith:2018:MFHCPPO322GFGY77AGP5WTTC4N

not attested not anchored not stored refs pending

Quantum variance for Eisenstein Series

Bingrong Huang

arxiv:1811.02925 v1 · 2018-11-07 · math.NT · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFHCPPO322GFGY77AGP5WTTC4N}

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	2026-05-18T00:01:20.392062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614e27bddbd68c5363ff019fdb4e62e34c38f516e81590acf7b66efcd24a704c

Aliases

arxiv: 1811.02925 · arxiv_version: 1811.02925v1 · doi: 10.48550/arxiv.1811.02925 · pith_short_12: MFHCPPO322GF · pith_short_16: MFHCPPO322GFGY77 · pith_short_8: MFHCPPO3

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/MFHCPPO322GFGY77AGP5WTTC4N \
  | 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: 614e27bddbd68c5363ff019fdb4e62e34c38f516e81590acf7b66efcd24a704c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d113522920631c35ac3cd03e1668fb758d50fd778561fa2a2537b5f6a6d55a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-07T15:12:26Z",
    "title_canon_sha256": "379dcb25379344ae9d24c81146e247363e777080baafc3572b32d0f61309080a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02925",
    "kind": "arxiv",
    "version": 1
  }
}