Pith Number

pith:46OADGRT

pith:2012:46OADGRTVMNJXSSRT6ISLZQ7XS

not attested not anchored not stored refs pending

$G$-colorings of posets, coverings and presentations of the fundamental group

Elias Gabriel Minian, Jonathan Ariel Barmak

arxiv:1212.6442 v2 · 2012-12-28 · math.AT · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46OADGRTVMNJXSSRT6ISLZQ7XS}

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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.

Cited by

1 paper in Pith

Regular coverings and fundamental groupoids of Alexandroff spaces

Receipt and verification

First computed	2026-05-18T02:31:12.246244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79c019a33ab1a9bca519f9125e61fbc883fe182a4a76a7b5c0095e4c5623d67

Aliases

arxiv: 1212.6442 · arxiv_version: 1212.6442v2 · doi: 10.48550/arxiv.1212.6442 · pith_short_12: 46OADGRTVMNJ · pith_short_16: 46OADGRTVMNJXSSR · pith_short_8: 46OADGRT

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/46OADGRTVMNJXSSRT6ISLZQ7XS \
  | 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: e79c019a33ab1a9bca519f9125e61fbc883fe182a4a76a7b5c0095e4c5623d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ec1e86361d6926339407b99796c93543a5bff56933ba6b5c63ff6a4b3af8c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-28T00:26:37Z",
    "title_canon_sha256": "d95ad03015eefda36a0ca53f7783b74f84d1269241fcbe76e3a2f878a8f9c936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6442",
    "kind": "arxiv",
    "version": 2
  }
}