Pith Number

pith:IHBT7K66

pith:2017:IHBT7K665LOQCWEGSLZYTWANTL

not attested not anchored not stored refs pending

On the vanishing of Relative Negative K-theory

Vivek Sadhu

arxiv:1701.09059 v3 · 2017-01-31 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHBT7K665LOQCWEGSLZYTWANTL}

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	2026-05-17T23:43:18.709285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c33fabdeeadd01588692f389d80d9ae95b5ef6b03f93d288bc38efb5ebd766

Aliases

arxiv: 1701.09059 · arxiv_version: 1701.09059v3 · doi: 10.48550/arxiv.1701.09059 · pith_short_12: IHBT7K665LOQ · pith_short_16: IHBT7K665LOQCWEG · pith_short_8: IHBT7K66

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/IHBT7K665LOQCWEGSLZYTWANTL \
  | 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: 41c33fabdeeadd01588692f389d80d9ae95b5ef6b03f93d288bc38efb5ebd766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9517173a6da848cad39fcebeeabbed56c009679cd0ff29c220207cc05709df1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-31T14:33:56Z",
    "title_canon_sha256": "9e8fa28d463b176177755a2ba3f1ffb562ed5363e25dfa65a48daa227edb84fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09059",
    "kind": "arxiv",
    "version": 3
  }
}