Pith Number

pith:LSO6PV3C

pith:2017:LSO6PV3CUSACWKD4GYWXYKVIJ4

not attested not anchored not stored refs pending

Non-commutative twisted Euler characteristic

Somnath Jha, Sudhanshu Shekhar

arxiv:1710.03985 v1 · 2017-10-11 · 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{LSO6PV3CUSACWKD4GYWXYKVIJ4}

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	2026-05-18T00:33:05.386690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9de7d762a4802b287c362d7c2aa84f0c6f8a000d67d8c7f970eb862ee103d0

Aliases

arxiv: 1710.03985 · arxiv_version: 1710.03985v1 · doi: 10.48550/arxiv.1710.03985 · pith_short_12: LSO6PV3CUSAC · pith_short_16: LSO6PV3CUSACWKD4 · pith_short_8: LSO6PV3C

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/LSO6PV3CUSACWKD4GYWXYKVIJ4 \
  | 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: 5c9de7d762a4802b287c362d7c2aa84f0c6f8a000d67d8c7f970eb862ee103d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb8384da63f63b30b278a543a5b8eadb8b2c5832fb8869a0c256223837dc8c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-11T10:07:48Z",
    "title_canon_sha256": "f8b2e6da7392ae73bd2ee1e1adb94d2a5a4513bae30b11378ceb7eb2a286f3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03985",
    "kind": "arxiv",
    "version": 1
  }
}