Pith Number

pith:6ICV7MBK

pith:2013:6ICV7MBK5NXDCFAUWABYPQKBDP

not attested not anchored not stored refs pending

Equivariant Torsion and Base Change

Michael Lipnowski

arxiv:1312.2540 v1 · 2013-12-09 · 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{6ICV7MBK5NXDCFAUWABYPQKBDP}

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	2026-05-18T03:05:10.040468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2055fb02aeb6e311414b00387c1411beaca2932f3ec43f53afd5e9bb9614613

Aliases

arxiv: 1312.2540 · arxiv_version: 1312.2540v1 · doi: 10.48550/arxiv.1312.2540 · pith_short_12: 6ICV7MBK5NXD · pith_short_16: 6ICV7MBK5NXDCFAU · pith_short_8: 6ICV7MBK

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/6ICV7MBK5NXDCFAUWABYPQKBDP \
  | 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: f2055fb02aeb6e311414b00387c1411beaca2932f3ec43f53afd5e9bb9614613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fc310edefa438997d0e338a30699e9bdbd8bdd522a54cc5e82a946cf547c7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-09T18:38:59Z",
    "title_canon_sha256": "c70f4ced4514344ab5c8d42ade8584d34b8676ace201302c58582a4c1c088c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2540",
    "kind": "arxiv",
    "version": 1
  }
}