Pith Number

pith:NRCMGVRM

pith:2021:NRCMGVRMHNHJJNL2OJZLRGV43L

not attested not anchored not stored refs pending

Animated Condensed Sets and Their Homotopy Groups

Catrin Mair

arxiv:2105.07888 v1 · 2021-05-17 · math.AT · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRCMGVRMHNHJJNL2OJZLRGV43L}

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

Lectures on Condensed Mathematics

Receipt and verification

First computed	2026-07-05T02:40:45.869599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c44c3562c3b4e94b57a7272b89abcdaf68e7bf11b71c88d308b2e13e3de9bfc

Aliases

arxiv: 2105.07888 · arxiv_version: 2105.07888v1 · doi: 10.48550/arxiv.2105.07888 · pith_short_12: NRCMGVRMHNHJ · pith_short_16: NRCMGVRMHNHJJNL2 · pith_short_8: NRCMGVRM

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/NRCMGVRMHNHJJNL2OJZLRGV43L \
  | 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: 6c44c3562c3b4e94b57a7272b89abcdaf68e7bf11b71c88d308b2e13e3de9bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d178485748e9652c6ed2a8ad9dd5c3e7af6f2b55b8b909a135899c8d5411fe4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-05-17T14:22:33Z",
    "title_canon_sha256": "41f3b5172da3387ab591928a1a7631f3f6ec335aa89d26ff468f3c26f65def29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.07888",
    "kind": "arxiv",
    "version": 1
  }
}