Pith Number

pith:33T4DQHF

pith:2019:33T4DQHFSD5GD4MCZMX5IMZA7B

not attested not anchored not stored refs pending

A note on rational homological stability for automorphisms of manifolds

Manuel Krannich

arxiv:1903.09597 v2 · 2019-03-22 · 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{33T4DQHFSD5GD4MCZMX5IMZA7B}

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	2026-07-05T03:55:23.725073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee7c1c0e590fa61f182cb2fd43320f873b1248aae74745f7978d78136329f26

Aliases

arxiv: 1903.09597 · arxiv_version: 1903.09597v2 · doi: 10.48550/arxiv.1903.09597 · pith_short_12: 33T4DQHFSD5G · pith_short_16: 33T4DQHFSD5GD4MC · pith_short_8: 33T4DQHF

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/33T4DQHFSD5GD4MCZMX5IMZA7B \
  | 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: dee7c1c0e590fa61f182cb2fd43320f873b1248aae74745f7978d78136329f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1098b03373166e9d1de77cdac87c666d75abe1ab3192851a8ca2db940f46beb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-22T16:46:06Z",
    "title_canon_sha256": "8e75842aad35e03ebad99898bc0414dc6deacac5f33f49bff63ff73ef7542886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09597",
    "kind": "arxiv",
    "version": 2
  }
}