Pith Number

pith:VIAOUIRF

pith:2014:VIAOUIRFMMSMOX7FR4U54TLWIN

not attested not anchored not stored refs pending

Paraboline variation of $p$-adic families of $(\varphi,\Gamma)$-modules

John Bergdall

arxiv:1410.3412 v2 · 2014-10-13 · 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{VIAOUIRFMMSMOX7FR4U54TLWIN}

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	2026-05-17T23:53:14.123691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa00ea22256324c75fe58f29de4d7643446254f49dddb1ae2cf6a406f5f45a02

Aliases

arxiv: 1410.3412 · arxiv_version: 1410.3412v2 · doi: 10.48550/arxiv.1410.3412 · pith_short_12: VIAOUIRFMMSM · pith_short_16: VIAOUIRFMMSMOX7F · pith_short_8: VIAOUIRF

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/VIAOUIRFMMSMOX7FR4U54TLWIN \
  | 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: aa00ea22256324c75fe58f29de4d7643446254f49dddb1ae2cf6a406f5f45a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d58ea85a6fb05630f4fbfb822fe38d418fecb9afa14aa347db2740f3cb2ff66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-13T17:52:54Z",
    "title_canon_sha256": "20db13f1e6d7947ef22db61a81e9518fe01ae19aab963bf4392737445410fb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3412",
    "kind": "arxiv",
    "version": 2
  }
}