Pith Number

pith:3AZJN4IT

pith:2015:3AZJN4ITUCTPBCCTMCRNIOD443

not attested not anchored not stored refs pending

Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups

Mahmoud Zeinalian, Scott O. Wilson, Thomas Tradler

arxiv:1507.01770 v1 · 2015-07-07 · math.KT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AZJN4ITUCTPBCCTMCRNIOD443}

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	2026-05-18T01:37:12.453307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83296f113a0a6f0885360a2d4387ce6d992ca4be9be87fcad595815b00d31b0

Aliases

arxiv: 1507.01770 · arxiv_version: 1507.01770v1 · doi: 10.48550/arxiv.1507.01770 · pith_short_12: 3AZJN4ITUCTP · pith_short_16: 3AZJN4ITUCTPBCCT · pith_short_8: 3AZJN4IT

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/3AZJN4ITUCTPBCCTMCRNIOD443 \
  | 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: d83296f113a0a6f0885360a2d4387ce6d992ca4be9be87fcad595815b00d31b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7727f7ce6b1ec600bb29ea1309b427c2996391d05761005e8356383ec353c658",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-07-07T12:06:33Z",
    "title_canon_sha256": "e8f4a8e4e89f9508eaa6c5de05e7fcad23489205415999eb37996c9f3791fd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01770",
    "kind": "arxiv",
    "version": 1
  }
}