Pith Number

pith:VEDTUHER

pith:2021:VEDTUHER4ZJA5SYUNPYUAQKSUN

not attested not anchored not stored refs pending

An introduction to six-functor formalisms

Martin Gallauer

arxiv:2112.10456 v1 · 2021-12-20 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEDTUHER4ZJA5SYUNPYUAQKSUN}

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

Duality for KGL-modules in motivic homotopy theory

Receipt and verification

First computed	2026-07-05T10:33:28.581606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9073a1c91e6520ecb146bf1404152a345505032be83b7e31ff37d5fd7f363d9

Aliases

arxiv: 2112.10456 · arxiv_version: 2112.10456v1 · doi: 10.48550/arxiv.2112.10456 · pith_short_12: VEDTUHER4ZJA · pith_short_16: VEDTUHER4ZJA5SYU · pith_short_8: VEDTUHER

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/VEDTUHER4ZJA5SYUNPYUAQKSUN \
  | 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: a9073a1c91e6520ecb146bf1404152a345505032be83b7e31ff37d5fd7f363d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e7d3c002810ce01af253491ae19d2eea918b208a0a3111accc61fe11a338a1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-20T11:29:30Z",
    "title_canon_sha256": "c9375a499312fe3d796aa70f254a8f0b9a760e752a0e678b4c224407356b5c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10456",
    "kind": "arxiv",
    "version": 1
  }
}