Pith Number

pith:2U7BHW7S

pith:2012:2U7BHW7SPCTSBXB54YJSAOSDHB

not attested not anchored not stored refs pending

Universal twist in Equivariant K-theory for proper and discrete actions

Bernardo Uribe, Jesus Espinoza, Michael Joachim, Noe Barcenas

arxiv:1202.1880 v3 · 2012-02-09 · 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{2U7BHW7SPCTSBXB54YJSAOSDHB}

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	2026-05-18T00:15:59.833373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53e13dbf278a720dc3de613203a4338756b57e22ff7754c784452642a01a4b2

Aliases

arxiv: 1202.1880 · arxiv_version: 1202.1880v3 · doi: 10.48550/arxiv.1202.1880 · pith_short_12: 2U7BHW7SPCTS · pith_short_16: 2U7BHW7SPCTSBXB5 · pith_short_8: 2U7BHW7S

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/2U7BHW7SPCTSBXB54YJSAOSDHB \
  | 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: d53e13dbf278a720dc3de613203a4338756b57e22ff7754c784452642a01a4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a8d90d2efdc521baeb8b768ac4100ef6ee6df496befd00aa24a10b832b178d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-09T03:47:36Z",
    "title_canon_sha256": "903cf14af8301ba8028825a1f21b1d77ca8bf1dad33dd7c0c3c56e16838b8561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1880",
    "kind": "arxiv",
    "version": 3
  }
}