Pith Number

pith:F5YZRX7J

pith:2011:F5YZRX7J37TPTUL3TPKL4Y6HJQ

not attested not anchored not stored refs pending

Diagram spaces and symmetric spectra

Christian Schlichtkrull, Steffen Sagave

arxiv:1103.2764 v2 · 2011-03-14 · 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{F5YZRX7J37TPTUL3TPKL4Y6HJQ}

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	2026-05-18T03:46:59.169596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7198dfe9dfe6f9d17b9bd4be63c74c2d1504994acf4f6134dad3bc47f83443

Aliases

arxiv: 1103.2764 · arxiv_version: 1103.2764v2 · doi: 10.48550/arxiv.1103.2764 · pith_short_12: F5YZRX7J37TP · pith_short_16: F5YZRX7J37TPTUL3 · pith_short_8: F5YZRX7J

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/F5YZRX7J37TPTUL3TPKL4Y6HJQ \
  | 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: 2f7198dfe9dfe6f9d17b9bd4be63c74c2d1504994acf4f6134dad3bc47f83443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa0e0917358a1723f9504e76e402221811e3fa2874146b4dc6720e2d98ac74f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-03-14T19:57:50Z",
    "title_canon_sha256": "5a2e504d4e712ccb7616479c036cfff87acf7da5c1191a8ae95381be895cd666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2764",
    "kind": "arxiv",
    "version": 2
  }
}