Pith Number

pith:GK5DAQZW

pith:2021:GK5DAQZW64AOP27IDLTSNPVD7G

not attested not anchored not stored refs pending

Tangent $\infty$-categories and Goodwillie calculus

Kristine Bauer, Matthew Burke, Michael Ching

arxiv:2101.07819 v5 · 2021-01-19 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK5DAQZW64AOP27IDLTSNPVD7G}

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	2026-06-05T01:15:10.816643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ba304336f700e7ebe81ae726bea3f9b96da46e18ab331bbbea0140f7efa081

Aliases

arxiv: 2101.07819 · arxiv_version: 2101.07819v5 · doi: 10.48550/arxiv.2101.07819 · pith_short_12: GK5DAQZW64AO · pith_short_16: GK5DAQZW64AOP27I · pith_short_8: GK5DAQZW

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/GK5DAQZW64AOP27IDLTSNPVD7G \
  | 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: 32ba304336f700e7ebe81ae726bea3f9b96da46e18ab331bbbea0140f7efa081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c624e3cf07c9d884eb45d8b29f3ec2acc3ea29dbb77848c3f6ebc124b978b2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-01-19T19:03:02Z",
    "title_canon_sha256": "31d34f82ac6ba8dcbcfb5173c82ea88efa1fb7905983c9b523b7c09e5f51e64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07819",
    "kind": "arxiv",
    "version": 5
  }
}