Pith Number

pith:VNUP4XKB

pith:2014:VNUP4XKBSADHW4EHPDG5LYF7AN

not attested not anchored not stored refs pending

The First Differential of the Functor "Algebraic K-Theory of Spaces"

Mark Ullmann

arxiv:1406.3551 v2 · 2014-06-13 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNUP4XKBSADHW4EHPDG5LYF7AN}

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	2026-05-18T00:54:04.042557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab68fe5d4190067b708778cdd5e0bf0359eaef9df50d07250b52b4cce5da895a

Aliases

arxiv: 1406.3551 · arxiv_version: 1406.3551v2 · doi: 10.48550/arxiv.1406.3551 · pith_short_12: VNUP4XKBSADH · pith_short_16: VNUP4XKBSADHW4EH · pith_short_8: VNUP4XKB

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/VNUP4XKBSADHW4EHPDG5LYF7AN \
  | 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: ab68fe5d4190067b708778cdd5e0bf0359eaef9df50d07250b52b4cce5da895a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2b2953538f77801c6c8347fea78bc95e4808ba2814cad093a860ae3081a631",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-06-13T14:39:45Z",
    "title_canon_sha256": "b98ccffdde6cfaeccdae14142055ce8336c2eeb91928d562c5a268979bd16d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3551",
    "kind": "arxiv",
    "version": 2
  }
}