Pith Number

pith:MSNUI7MA

pith:2016:MSNUI7MAUDHIXZHF26LZPZSMKW

not attested not anchored not stored refs pending

On the vanishing of negative homotopy K-theory

Florian Strunk, Moritz Kerz

arxiv:1601.08075 v2 · 2016-01-29 · 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{MSNUI7MAUDHIXZHF26LZPZSMKW}

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	2026-05-18T00:54:40.912887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649b447d80a0ce8be4e5d79797e64c5591a91a6f3d8da8907bf9bc1d83712fd8

Aliases

arxiv: 1601.08075 · arxiv_version: 1601.08075v2 · doi: 10.48550/arxiv.1601.08075 · pith_short_12: MSNUI7MAUDHI · pith_short_16: MSNUI7MAUDHIXZHF · pith_short_8: MSNUI7MA

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/MSNUI7MAUDHIXZHF26LZPZSMKW \
  | 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: 649b447d80a0ce8be4e5d79797e64c5591a91a6f3d8da8907bf9bc1d83712fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4515020387cfe70473fca5d2c0887762390405103f787e3cd1946d136f68eae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-29T12:20:34Z",
    "title_canon_sha256": "fb0704251b7aa1d4e6e24aeb7f0a37145bd28cd29229aae85c8526c45153205b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08075",
    "kind": "arxiv",
    "version": 2
  }
}