Pith Number

pith:XMPEDMT6

pith:2024:XMPEDMT6ACK6GCF4JOYQKNP2IA

not attested not anchored not stored refs pending

Chromatic congruences and Bernoulli numbers

Irakli Patchkoria

arxiv:2406.17705 v1 · 2024-06-25 · math.AT · math.GR · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMPEDMT6ACK6GCF4JOYQKNP2IA}

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.

Cited by

1 paper in Pith

Chromatic Euler characteristics and duality for infinite groups

Receipt and verification

First computed	2026-07-05T08:36:38.897148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1e41b27e0095e308bc4bb10535fa4036a796d3d82460eff552831ea4c586c7

Aliases

arxiv: 2406.17705 · arxiv_version: 2406.17705v1 · doi: 10.48550/arxiv.2406.17705 · pith_short_12: XMPEDMT6ACK6 · pith_short_16: XMPEDMT6ACK6GCF4 · pith_short_8: XMPEDMT6

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/XMPEDMT6ACK6GCF4JOYQKNP2IA \
  | 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: bb1e41b27e0095e308bc4bb10535fa4036a796d3d82460eff552831ea4c586c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81e2f2d1e93e21861f11309b227ca8fcb4c37e586fd0c4260c6f5ea67994b1d",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-06-25T16:42:54Z",
    "title_canon_sha256": "062196647207c3ac534d0a2adfc2057e5844ed0a1c40777add60cde1e003e875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17705",
    "kind": "arxiv",
    "version": 1
  }
}