Pith Number

pith:3VPIKNJI

pith:2017:3VPIKNJIBJMWFD5DDF4RSFCC3F

not attested not anchored not stored refs pending

Theorem of the heart in negative K-theory for weight structures

Vladimir Sosnilo

arxiv:1705.07995 v2 · 2017-05-22 · math.KT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VPIKNJIBJMWFD5DDF4RSFCC3F}

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	2026-05-18T00:29:40.875993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5e8535280a59628fa31979191442d942affbf910c62487e2a35a9105746288

Aliases

arxiv: 1705.07995 · arxiv_version: 1705.07995v2 · doi: 10.48550/arxiv.1705.07995 · pith_short_12: 3VPIKNJIBJMW · pith_short_16: 3VPIKNJIBJMWFD5D · pith_short_8: 3VPIKNJI

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/3VPIKNJIBJMWFD5DDF4RSFCC3F \
  | 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: dd5e8535280a59628fa31979191442d942affbf910c62487e2a35a9105746288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784518bb9903e9dc0981a43441ff2eecb93230164d597036fc272dc58dc0f8b5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-05-22T20:48:56Z",
    "title_canon_sha256": "37b3c9fb44e4704faf18ec16f7deff31b9079f9a1afc59f681fee873f86abae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07995",
    "kind": "arxiv",
    "version": 2
  }
}