Pith Number

pith:O7PFW3WS

pith:2017:O7PFW3WS6LNO46LHMGETYZ66LI

not attested not anchored not stored refs pending

A first step toward higher order chain rules in abelian functor calculus

Amelia Tebbe, Christina Osborne

arxiv:1707.04765 v1 · 2017-07-15 · 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{O7PFW3WS6LNO46LHMGETYZ66LI}

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	2026-05-18T00:40:12.347505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77de5b6ed2f2daee796761893c67de5a18bd7e5735bd8986183d4907678281c2

Aliases

arxiv: 1707.04765 · arxiv_version: 1707.04765v1 · doi: 10.48550/arxiv.1707.04765 · pith_short_12: O7PFW3WS6LNO · pith_short_16: O7PFW3WS6LNO46LH · pith_short_8: O7PFW3WS

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/O7PFW3WS6LNO46LHMGETYZ66LI \
  | 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: 77de5b6ed2f2daee796761893c67de5a18bd7e5735bd8986183d4907678281c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358bc55a11f38e31a61f9840b023fb0583bbef0d0c66c103d1e0b4b936650796",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-15T17:30:38Z",
    "title_canon_sha256": "34edc361b0154b490af3475492056f1b1184d65fa0cd89a16e0d918b30b38297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04765",
    "kind": "arxiv",
    "version": 1
  }
}