Pith Number

pith:VBLFRWOO

pith:2009:VBLFRWOOYGWC7GLNGVFD5QNMUJ

not attested not anchored not stored refs pending

An index theorem in differential K-theory

Daniel S. Freed, John Lott

arxiv:0907.3508 v2 · 2009-07-20 · math.DG · hep-th · 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{VBLFRWOOYGWC7GLNGVFD5QNMUJ}

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	2026-05-18T02:38:18.800960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85658d9cec1ac2f996d354a3ec1aca26ad67ad126dcc3b1d1e6ae04371db3c1

Aliases

arxiv: 0907.3508 · arxiv_version: 0907.3508v2 · doi: 10.48550/arxiv.0907.3508 · pith_short_12: VBLFRWOOYGWC · pith_short_16: VBLFRWOOYGWC7GLN · pith_short_8: VBLFRWOO

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/VBLFRWOOYGWC7GLNGVFD5QNMUJ \
  | 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: a85658d9cec1ac2f996d354a3ec1aca26ad67ad126dcc3b1d1e6ae04371db3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b175d12763763033bce92d8a3551888ffb29173a6db715361d73245e34e435f5",
    "cross_cats_sorted": [
      "hep-th",
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-20T22:43:09Z",
    "title_canon_sha256": "ca03c4a6c5d5c8ebc4ee4b038df7e8e7b1ca7ea46175d7de9445039c64323137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3508",
    "kind": "arxiv",
    "version": 2
  }
}