Pith Number

pith:AXW75VBB

pith:2014:AXW75VBBFHVLYQYBJYRB5MMDBW

not attested not anchored not stored refs pending

Purity for families of Galois representations

Jyoti Prakash Saha

arxiv:1410.3843 v2 · 2014-10-14 · 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{AXW75VBBFHVLYQYBJYRB5MMDBW}

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	2026-05-18T02:31:59.157544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05edfed42129eabc43014e221eb1830d8a94e7844d743c592955993815668c2c

Aliases

arxiv: 1410.3843 · arxiv_version: 1410.3843v2 · doi: 10.48550/arxiv.1410.3843 · pith_short_12: AXW75VBBFHVL · pith_short_16: AXW75VBBFHVLYQYB · pith_short_8: AXW75VBB

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/AXW75VBBFHVLYQYBJYRB5MMDBW \
  | 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: 05edfed42129eabc43014e221eb1830d8a94e7844d743c592955993815668c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff184fd737abe3e8eec683e5bf4fc21db7aa03a570ea99daf66b895a95d6126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-14T20:08:15Z",
    "title_canon_sha256": "8f04a1a416b309acb3286c9d94734418eaa457ce87f75f45bbfeabb0161fbb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3843",
    "kind": "arxiv",
    "version": 2
  }
}