Pith Number

pith:6XDUTYAG

pith:2003:6XDUTYAGF23UWQ2AP3P7RTGXXA

not attested not anchored not stored refs pending

Spectral flow in Fredholm modules, eta invariants and the JLO cocycle

Alan L. Carey, John Phillips

arxiv:math/0308161 v2 · 2003-08-18 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XDUTYAGF23UWQ2AP3P7RTGXXA}

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	2026-07-04T14:37:39.826087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c749e0062eb74b43407edff8ccd7b806c2ad5aab10bdc17c782ecc8c54295b

Aliases

arxiv: math/0308161 · arxiv_version: math/0308161v2 · doi: 10.48550/arxiv.math/0308161 · pith_short_12: 6XDUTYAGF23U · pith_short_16: 6XDUTYAGF23UWQ2A · pith_short_8: 6XDUTYAG

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/6XDUTYAGF23UWQ2AP3P7RTGXXA \
  | 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: f5c749e0062eb74b43407edff8ccd7b806c2ad5aab10bdc17c782ecc8c54295b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410272340853e7c19b359560fb9294ede9022419c199217858316d8e3982b40d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2003-08-18T06:46:22Z",
    "title_canon_sha256": "c83c5bdb905a18a48ee8af7bc9e41cfcfccb6ce6302685a15d17fc75d82ae9b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308161",
    "kind": "arxiv",
    "version": 2
  }
}