Pith Number

pith:EULRHF6E

pith:2006:EULRHF6EG6RL6IOGUV7IWUAN3Z

not attested not anchored not stored refs pending

Limits of small functors

Brian J. Day, Stephen Lack

arxiv:math/0610439 v1 · 2006-10-13 · 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{EULRHF6EG6RL6IOGUV7IWUAN3Z}

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	2026-05-18T04:41:06.139927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25171397c437a2bf21c6a57e8b500dde7980fe7266359f08af3d35c7c0dcd300

Aliases

arxiv: math/0610439 · arxiv_version: math/0610439v1 · doi: 10.48550/arxiv.math/0610439 · pith_short_12: EULRHF6EG6RL · pith_short_16: EULRHF6EG6RL6IOG · pith_short_8: EULRHF6E

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/EULRHF6EG6RL6IOGUV7IWUAN3Z \
  | 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: 25171397c437a2bf21c6a57e8b500dde7980fe7266359f08af3d35c7c0dcd300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3490de49bcdf2cd86014a7b695c97a06186f924b20b12503451303b25361d5f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-10-13T21:23:12Z",
    "title_canon_sha256": "4c96071a4af6a03d0a88bb27a422e2c7fb716d1fb3ca9747f8c489e1b9128dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610439",
    "kind": "arxiv",
    "version": 1
  }
}