Pith Number

pith:MIY3FCF6

pith:2003:MIY3FCF65BHEPLDIQFD465MIEP

not attested not anchored not stored refs pending

A chain rule in the calculus of homotopy functors

John R. Klein, John Rognes

arxiv:math/0301079 v1 · 2003-01-09 · 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{MIY3FCF65BHEPLDIQFD465MIEP}

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	2026-05-18T02:38:00.464111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6231b288bee84e47ac688147cf758823d0dc08dc03d33857d94ceed9a1bcbff2

Aliases

arxiv: math/0301079 · arxiv_version: math/0301079v1 · doi: 10.48550/arxiv.math/0301079 · pith_short_12: MIY3FCF65BHE · pith_short_16: MIY3FCF65BHEPLDI · pith_short_8: MIY3FCF6

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/MIY3FCF65BHEPLDIQFD465MIEP \
  | 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: 6231b288bee84e47ac688147cf758823d0dc08dc03d33857d94ceed9a1bcbff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8c3c50e63c779625cba9e995ed1fa98c0c1ee1cef73a79379b2b84fb9a7e1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-01-09T13:00:10Z",
    "title_canon_sha256": "a44787dfe709818eb16b7843126f7bc6e44af6f404962d0f15278bbc3d45fd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301079",
    "kind": "arxiv",
    "version": 1
  }
}