Pith Number

pith:TO2XPCZD

pith:2021:TO2XPCZDOSLMMNQV42DNV66T5F

not attested not anchored not stored refs pending

The additivity of traces in stable $\infty$-categories

Maxime Ramzi

arxiv:2109.01512 v3 · 2021-09-03 · math.KT · math.AT · 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{TO2XPCZDOSLMMNQV42DNV66T5F}

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

Additivity of non-acyclicity classes for constructible \'etale sheaves

Receipt and verification

First computed	2026-07-05T04:49:29.689377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb5778b237496c63615e686dafbd3e94ef1cb890f6cac2a2187e24a70b18433

Aliases

arxiv: 2109.01512 · arxiv_version: 2109.01512v3 · doi: 10.48550/arxiv.2109.01512 · pith_short_12: TO2XPCZDOSLM · pith_short_16: TO2XPCZDOSLMMNQV · pith_short_8: TO2XPCZD

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/TO2XPCZDOSLMMNQV42DNV66T5F \
  | 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: 9bb5778b237496c63615e686dafbd3e94ef1cb890f6cac2a2187e24a70b18433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46dee773fc778c1b6c1dfc37818817c0975e62260730087743c7d2ccfcda9f36",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2021-09-03T13:36:04Z",
    "title_canon_sha256": "7620089b42ead31019a0470dfc211e705f3ebd97f0576c1ab440940230c3e3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01512",
    "kind": "arxiv",
    "version": 3
  }
}