Pith Number

pith:UPFB4QCB

pith:2013:UPFB4QCBZ3HNED2DNYD7KUDNVW

not attested not anchored not stored refs pending

Equivariant calculus of functors and Z/2-analyticity of real K-theory

Emanuele Dotto

arxiv:1305.6217 v4 · 2013-05-27 · math.AT · 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{UPFB4QCBZ3HNED2DNYD7KUDNVW}

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	2026-05-17T23:53:17.485243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ca1e4041ceced20f436e07f5506dadbef1b7f3bb2429bfdf1450741b80cbd7

Aliases

arxiv: 1305.6217 · arxiv_version: 1305.6217v4 · doi: 10.48550/arxiv.1305.6217 · pith_short_12: UPFB4QCBZ3HN · pith_short_16: UPFB4QCBZ3HNED2D · pith_short_8: UPFB4QCB

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/UPFB4QCBZ3HNED2DNYD7KUDNVW \
  | 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: a3ca1e4041ceced20f436e07f5506dadbef1b7f3bb2429bfdf1450741b80cbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763361917c556b6705da9e046375dca8639486b1edf6cc92047d5aed4652813b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-27T13:43:29Z",
    "title_canon_sha256": "ebacaae978be05f9bb5c2d2801622c8f238781a9e2f38a3f15b6f4201747db85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6217",
    "kind": "arxiv",
    "version": 4
  }
}