Pith Number

pith:PVQAC3OA

pith:2002:PVQAC3OAW4TWKPWO2HSPCV5SKO

not attested not anchored not stored refs pending

Finiteness of Selmer groups and deformation rings

Chandrashekhar Khare, Ravi Ramakrishna

arxiv:math/0211006 v1 · 2002-11-01 · 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{PVQAC3OAW4TWKPWO2HSPCV5SKO}

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	2026-05-18T01:38:29.349363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d60016dc0b727653eced1e4f157b2538bfa81d174017deaf540075ce4754305

Aliases

arxiv: math/0211006 · arxiv_version: math/0211006v1 · doi: 10.48550/arxiv.math/0211006 · pith_short_12: PVQAC3OAW4TW · pith_short_16: PVQAC3OAW4TWKPWO · pith_short_8: PVQAC3OA

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/PVQAC3OAW4TWKPWO2HSPCV5SKO \
  | 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: 7d60016dc0b727653eced1e4f157b2538bfa81d174017deaf540075ce4754305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea200f890f07dc408e613f878ef6f5ee1cab53cb283867cb9ab864c706697c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-11-01T00:17:06Z",
    "title_canon_sha256": "d3ca99a6956843894202edfb437dd3847a80d91228e2b0e56000894d6eb611b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211006",
    "kind": "arxiv",
    "version": 1
  }
}