Pith Number

pith:N3RCQ4VV

pith:2015:N3RCQ4VVU4MJCELP36KSC4J7S6

not attested not anchored not stored refs pending

Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves

Jesse Wolfson, Michael Groechenig, Oliver Braunling

arxiv:1511.05941 v1 · 2015-11-18 · 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{N3RCQ4VVU4MJCELP36KSC4J7S6}

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	2026-05-18T01:26:32.243972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee22872b5a71891116fdf9521713f979499608d1ae42e60a1bbb9fc31d39c52

Aliases

arxiv: 1511.05941 · arxiv_version: 1511.05941v1 · doi: 10.48550/arxiv.1511.05941 · pith_short_12: N3RCQ4VVU4MJ · pith_short_16: N3RCQ4VVU4MJCELP · pith_short_8: N3RCQ4VV

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/N3RCQ4VVU4MJCELP36KSC4J7S6 \
  | 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: 6ee22872b5a71891116fdf9521713f979499608d1ae42e60a1bbb9fc31d39c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0f33aa18d0b9b389661f8e14c42cb7eda030697fa21159f5c8e5b20476c849",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-11-18T20:47:20Z",
    "title_canon_sha256": "31d38cdda107b4c887f33564c7645f34ca51a6f472323e5faeaa11eabd3299f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05941",
    "kind": "arxiv",
    "version": 1
  }
}