Pith Number

pith:X7AMQWMP

pith:2024:X7AMQWMPLP6K47UOI4IJKK6UGQ

not attested not anchored not stored refs pending

Functorial languages in homological algebra and lower central series

Lev Mukoseev, Nikita Golub, Vasily Ionin

arxiv:2410.05708 v2 · 2024-10-08 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7AMQWMPLP6K47UOI4IJKK6UGQ}

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	2026-07-05T11:36:22.694771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc0c8598f5bfcae7e8e4710952bd4343f1de2d9af82b19bb15d161a8540e5dc

Aliases

arxiv: 2410.05708 · arxiv_version: 2410.05708v2 · doi: 10.48550/arxiv.2410.05708 · pith_short_12: X7AMQWMPLP6K · pith_short_16: X7AMQWMPLP6K47UO · pith_short_8: X7AMQWMP

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/X7AMQWMPLP6K47UOI4IJKK6UGQ \
  | 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: bfc0c8598f5bfcae7e8e4710952bd4343f1de2d9af82b19bb15d161a8540e5dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf39871195f57031ee6a4a629b10ffc516eec4d375666d27da150164653f035",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-10-08T06:01:59Z",
    "title_canon_sha256": "11644e212b28fbe93aec6c5b1b1552b8dbbde7312590b08761eec9fa2f8fb20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05708",
    "kind": "arxiv",
    "version": 2
  }
}