Pith Number

pith:M5HWTKBX

pith:2015:M5HWTKBXK7BZWLC5KPGJNGB7QW

not attested not anchored not stored refs pending

Partial Euler Characteristic, Normal Generations and the stable D(2) problem

Feng Ji, Shengkui Ye

arxiv:1503.01987 v2 · 2015-03-06 · math.AT · math.GR · 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{M5HWTKBXK7BZWLC5KPGJNGB7QW}

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	2026-05-18T00:26:02.523456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674f69a83757c39b2c5d53cc96983f859c893bcd42930798586c15b9a185bd8b

Aliases

arxiv: 1503.01987 · arxiv_version: 1503.01987v2 · doi: 10.48550/arxiv.1503.01987 · pith_short_12: M5HWTKBXK7BZ · pith_short_16: M5HWTKBXK7BZWLC5 · pith_short_8: M5HWTKBX

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/M5HWTKBXK7BZWLC5KPGJNGB7QW \
  | 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: 674f69a83757c39b2c5d53cc96983f859c893bcd42930798586c15b9a185bd8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05627fd85593faa0590b5b6170d8d679fa04e1e4e5eb13055ec6b504143ebcfd",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-06T15:20:38Z",
    "title_canon_sha256": "03128ff83b7d6008d723cd9d4ec22f0f46ae171abd0dedf03b37a2da7b463174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01987",
    "kind": "arxiv",
    "version": 2
  }
}