Pith Number

pith:KTBGTTWC

pith:2013:KTBGTTWCSZ32GFZPZOS4D5WWFH

not attested not anchored not stored refs pending

Finiteness conditions in covers of Poincar\'e duality spaces

Jonathan A. Hillman

arxiv:1301.3972 v2 · 2013-01-17 · 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{KTBGTTWCSZ32GFZPZOS4D5WWFH}

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	2026-05-18T02:17:52.517157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c269cec29677a3172fcba5c1f6d629d0f42ccbf6926a68fbcf1b246a970e17

Aliases

arxiv: 1301.3972 · arxiv_version: 1301.3972v2 · doi: 10.48550/arxiv.1301.3972 · pith_short_12: KTBGTTWCSZ32 · pith_short_16: KTBGTTWCSZ32GFZP · pith_short_8: KTBGTTWC

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/KTBGTTWCSZ32GFZPZOS4D5WWFH \
  | 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: 54c269cec29677a3172fcba5c1f6d629d0f42ccbf6926a68fbcf1b246a970e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4bcaf233e7e49a77a13043728632391b5d63cf93098635577c0bd86af74a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-17T02:44:53Z",
    "title_canon_sha256": "bc9079be982b586e0306a76675e3893fd6d868cf3cf6a74090e0f880b6440b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3972",
    "kind": "arxiv",
    "version": 2
  }
}