Pith Number

pith:KKDXM7HR

pith:2015:KKDXM7HR3VSV2ZTHGK4CMYLHC3

not attested not anchored not stored refs pending

Hearts and towers in stable infinity-categories

Domenico Fiorenza, Fosco Loregian, Giovanni Marchetti

arxiv:1501.04658 v3 · 2015-01-19 · math.CT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKDXM7HR3VSV2ZTHGK4CMYLHC3}

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	2026-05-17T23:47:16.366618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5287767cf1dd655d666732b826616716fda32f5152636a74d6e31b33be70a0af

Aliases

arxiv: 1501.04658 · arxiv_version: 1501.04658v3 · doi: 10.48550/arxiv.1501.04658 · pith_short_12: KKDXM7HR3VSV · pith_short_16: KKDXM7HR3VSV2ZTH · pith_short_8: KKDXM7HR

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/KKDXM7HR3VSV2ZTHGK4CMYLHC3 \
  | 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: 5287767cf1dd655d666732b826616716fda32f5152636a74d6e31b33be70a0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ed87ba414cb20ef7a0c2b3de01f725f1615ea78af74041a33575af93608629",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-01-19T22:19:01Z",
    "title_canon_sha256": "29c187eda317391b9f29e791bb37ca6086735085051a298e2f2dbd66c3502c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04658",
    "kind": "arxiv",
    "version": 3
  }
}