Pith Number

pith:Z3LW4SC4

pith:2016:Z3LW4SC4XHWBCHPNXAOJPRXDWE

not attested not anchored not stored refs pending

Finiteness of $\pi_1$-sensitive Hofer-Zehnder capacity and equivariant loop space homology

Andrei Pajitnov, Urs Frauenfelder

arxiv:1603.05793 v1 · 2016-03-18 · math.SG · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3LW4SC4XHWBCHPNXAOJPRXDWE}

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	2026-05-18T00:30:49.106663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced76e485cb9ec111dedb81c97c6e3b123331a6ab13f7345cb8c788364c82635

Aliases

arxiv: 1603.05793 · arxiv_version: 1603.05793v1 · doi: 10.48550/arxiv.1603.05793 · pith_short_12: Z3LW4SC4XHWB · pith_short_16: Z3LW4SC4XHWBCHPN · pith_short_8: Z3LW4SC4

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/Z3LW4SC4XHWBCHPNXAOJPRXDWE \
  | 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: ced76e485cb9ec111dedb81c97c6e3b123331a6ab13f7345cb8c788364c82635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4ef6014068a40ac12dda0bbb1f86bf0cd51e58f4dba62cfcfd635ef4aacb35",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-03-18T08:56:27Z",
    "title_canon_sha256": "f8d127c2f007ae8527ae9b58d1b573b1f731f7db3799ed5a8dd8a0e1461313c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05793",
    "kind": "arxiv",
    "version": 1
  }
}