Pith Number

pith:C45CMECA

pith:2006:C45CMECAD4P7U7TBCZBZFICZV6

not attested not anchored not stored refs pending

On the homotopy theory of n-types

Georg Biedermann

arxiv:math/0604514 v1 · 2006-04-24 · math.AT · math.AG · 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{C45CMECAD4P7U7TBCZBZFICZV6}

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	2026-05-18T03:13:43.945002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

173a2610401f1ffa7e61164392a059afa28763bfe17ff12e8ac003c751cf5235

Aliases

arxiv: math/0604514 · arxiv_version: math/0604514v1 · doi: 10.48550/arxiv.math/0604514 · pith_short_12: C45CMECAD4P7 · pith_short_16: C45CMECAD4P7U7TB · pith_short_8: C45CMECA

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/C45CMECAD4P7U7TBCZBZFICZV6 \
  | 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: 173a2610401f1ffa7e61164392a059afa28763bfe17ff12e8ac003c751cf5235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c943cb0593ed4c0acd2aa6636b42a06f1c1ba41e803be12bee70d5d13722cd34",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-04-24T18:22:21Z",
    "title_canon_sha256": "163061b94f72a7b88d0fa3697965419baea3d96999d59d5430086001be317b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604514",
    "kind": "arxiv",
    "version": 1
  }
}