Pith Number

pith:MHV2LZZT

pith:2012:MHV2LZZTKK74OG2ICZDGXB5A47

not attested not anchored not stored refs pending

The Free Loop Space Homology of $(n-1)$-connected $2n$-manifolds

Nora Seeliger, Piotr Beben

arxiv:1207.2344 v5 · 2012-07-10 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHV2LZZTKK74OG2ICZDGXB5A47}

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	2026-05-18T01:16:30.061545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61eba5e73352bfc71b4816466b87a0e7e55bbce1dc21b28d1694c01e73c313e8

Aliases

arxiv: 1207.2344 · arxiv_version: 1207.2344v5 · doi: 10.48550/arxiv.1207.2344 · pith_short_12: MHV2LZZTKK74 · pith_short_16: MHV2LZZTKK74OG2I · pith_short_8: MHV2LZZT

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/MHV2LZZTKK74OG2ICZDGXB5A47 \
  | 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: 61eba5e73352bfc71b4816466b87a0e7e55bbce1dc21b28d1694c01e73c313e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4eb72da1d0d6cbdf62c7c8024a2e0aed099bb3091b45982d31881920508070",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-10T13:38:06Z",
    "title_canon_sha256": "6dfc380e912f9642616cdc7f1f7d474ad0ff616a39172513926c869e4b2840b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2344",
    "kind": "arxiv",
    "version": 5
  }
}