Pith Number

pith:YV2NU6YA

pith:2011:YV2NU6YAZZNXPNGCNFLIRCY44D

not attested not anchored not stored refs pending

Functorial semi-norms on singular homology and (in)flexible manifolds

Clara Loeh, Diarmuid Crowley

arxiv:1103.4139 v4 · 2011-03-21 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YV2NU6YAZZNXPNGCNFLIRCY44D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:25:19.235661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c574da7b00ce5b77b4c26956888b1ce0c2f160c762ecea3501b0af7131fd65e1

Aliases

arxiv: 1103.4139 · arxiv_version: 1103.4139v4 · doi: 10.48550/arxiv.1103.4139 · pith_short_12: YV2NU6YAZZNX · pith_short_16: YV2NU6YAZZNXPNGC · pith_short_8: YV2NU6YA

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/YV2NU6YAZZNXPNGCNFLIRCY44D \
  | 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: c574da7b00ce5b77b4c26956888b1ce0c2f160c762ecea3501b0af7131fd65e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd079450b4cdd2644ccb0a738661940a11ff0c2f614cec2b9a9f206b6c0d871",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-21T20:09:45Z",
    "title_canon_sha256": "ff24796b505441d5f4d5b2e2d1e2f2457523133804b665dae9cb0e24dc722d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4139",
    "kind": "arxiv",
    "version": 4
  }
}