Pith Number

pith:HBNGXPE5

pith:2014:HBNGXPE53ZRS6XRX4UUN4F2HN2

not attested not anchored not stored refs pending

Differential operators, pullbacks, and families of automorphic forms

Ellen Eischen

arxiv:1405.0721 v3 · 2014-05-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBNGXPE53ZRS6XRX4UUN4F2HN2}

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	2026-05-18T01:09:07.280357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385a6bbc9dde632f5e37e528de17476ead27ed07c0815141fa59e79b3cbbe39b

Aliases

arxiv: 1405.0721 · arxiv_version: 1405.0721v3 · doi: 10.48550/arxiv.1405.0721 · pith_short_12: HBNGXPE53ZRS · pith_short_16: HBNGXPE53ZRS6XRX · pith_short_8: HBNGXPE5

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/HBNGXPE53ZRS6XRX4UUN4F2HN2 \
  | 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: 385a6bbc9dde632f5e37e528de17476ead27ed07c0815141fa59e79b3cbbe39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72df85a0b9a9324dd9949121844f29397c556e8cd5ca527600c3f08a1c681388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-04T17:30:20Z",
    "title_canon_sha256": "57b1903da49e0eccea8e3510dce4e1d8b5522ffb8098a9e3c75891e1deeaeed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0721",
    "kind": "arxiv",
    "version": 3
  }
}