Pith Number

pith:77Z6D342

pith:2018:77Z6D342NWZ6I673O2CNH7VELJ

not attested not anchored not stored refs pending

Growth of mod$-2$ homology in higher rank locally symmetric spaces

Mikolaj Fraczyk

arxiv:1801.09283 v1 · 2018-01-28 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77Z6D342NWZ6I673O2CNH7VELJ}

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	2026-05-18T00:24:57.958352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff3e1ef9a6db3e47bfb7684d3fea45a555d59c5d9f6f9f93be0ed10a7dff0a8

Aliases

arxiv: 1801.09283 · arxiv_version: 1801.09283v1 · doi: 10.48550/arxiv.1801.09283 · pith_short_12: 77Z6D342NWZ6 · pith_short_16: 77Z6D342NWZ6I673 · pith_short_8: 77Z6D342

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/77Z6D342NWZ6I673O2CNH7VELJ \
  | 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: fff3e1ef9a6db3e47bfb7684d3fea45a555d59c5d9f6f9f93be0ed10a7dff0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9070ae04ec26cccaa331025e8d32a31dec764facbef8d377b569cc45eae8376f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-28T20:39:54Z",
    "title_canon_sha256": "a69ea0b7a0618a5026d1ace9bbe80f5530170bc70eae904b9cde1ce74a597c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09283",
    "kind": "arxiv",
    "version": 1
  }
}