Pith Number

pith:CVFH25FC

pith:2014:CVFH25FCD7FAHB6CHYCCTTFGFZ

not attested not anchored not stored refs pending

The second homotopy group in terms of colorings of locally finite models and new results on asphericity

Elias Gabriel Minian, Jonathan Ariel Barmak

arxiv:1412.4835 v2 · 2014-12-15 · 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{CVFH25FCD7FAHB6CHYCCTTFGFZ}

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	2026-05-18T02:31:03.525778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154a7d74a21fca0387c23e0429cca62e60f82c3a04e88aeee72df9090a37fb30

Aliases

arxiv: 1412.4835 · arxiv_version: 1412.4835v2 · doi: 10.48550/arxiv.1412.4835 · pith_short_12: CVFH25FCD7FA · pith_short_16: CVFH25FCD7FAHB6C · pith_short_8: CVFH25FC

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/CVFH25FCD7FAHB6CHYCCTTFGFZ \
  | 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: 154a7d74a21fca0387c23e0429cca62e60f82c3a04e88aeee72df9090a37fb30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6b53e19804d6d4289ac19319393f90ae2f181293ee1a6fa8b6237a5068f5cc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-12-15T23:33:38Z",
    "title_canon_sha256": "dcdbc07b2150327d921b81dd4e1f530e0b000be80222fe4d3041f33aed36c888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4835",
    "kind": "arxiv",
    "version": 2
  }
}