Pith Number

pith:FPKL5MN2

pith:2019:FPKL5MN2PSXH4EOQTK7RIWWUMQ

not attested not anchored not stored refs pending

Categorified Fredholm Modules and Chern Characters

Abhishek Banerjee, Mamta Balodi

arxiv:1912.12658 v1 · 2019-12-29 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPKL5MN2PSXH4EOQTK7RIWWUMQ}

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	2026-07-05T00:29:02.338262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd4beb1ba7cae7e11d09abf145ad4640a9d5bcb205667d78c6c5eff73ef142e

Aliases

arxiv: 1912.12658 · arxiv_version: 1912.12658v1 · doi: 10.48550/arxiv.1912.12658 · pith_short_12: FPKL5MN2PSXH · pith_short_16: FPKL5MN2PSXH4EOQ · pith_short_8: FPKL5MN2

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/FPKL5MN2PSXH4EOQTK7RIWWUMQ \
  | 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: 2bd4beb1ba7cae7e11d09abf145ad4640a9d5bcb205667d78c6c5eff73ef142e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c186a7dd6c8e58b4c7a4399ed7d8bbaa0a076ba281e447dfe596f0e839134e39",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-12-29T14:25:09Z",
    "title_canon_sha256": "fb3d9a8cb1f5ceb03407060bdce896e289f7255cb6eedfba506d5d6fdcc3910f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12658",
    "kind": "arxiv",
    "version": 1
  }
}