Pith Number

pith:DEPCBSYO

pith:2016:DEPCBSYOLIOKWBEHISKCKZ4ARQ

not attested not anchored not stored refs pending

A geometric perspective on p-adic properties of mock modular forms

Francesc Castella, Luca Candelori

arxiv:1605.05765 v1 · 2016-05-18 · 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{DEPCBSYOLIOKWBEHISKCKZ4ARQ}

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	2026-05-18T01:14:28.478499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191e20cb0e5a1cab048744942567808c2351b3d0cef46f04c3795a372a610d05

Aliases

arxiv: 1605.05765 · arxiv_version: 1605.05765v1 · doi: 10.48550/arxiv.1605.05765 · pith_short_12: DEPCBSYOLIOK · pith_short_16: DEPCBSYOLIOKWBEH · pith_short_8: DEPCBSYO

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/DEPCBSYOLIOKWBEHISKCKZ4ARQ \
  | 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: 191e20cb0e5a1cab048744942567808c2351b3d0cef46f04c3795a372a610d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5909487cc26ec46e32f897b52a966adba703491b44c3c6d75e663ec074c0c375",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-18T21:48:43Z",
    "title_canon_sha256": "3be78456599fa487e8225de85428f630975a4e59a26aca4b8ece10a6699b0dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05765",
    "kind": "arxiv",
    "version": 1
  }
}