Pith Number

pith:55ZG73WO

pith:2007:55ZG73WOCVH5TNBENMYLKUVCTE

not attested not anchored not stored refs pending

The Viterbo Transfer as a Map of Spectra

Thomas Kragh

arxiv:0712.2533 v3 · 2007-12-17 · math.AT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55ZG73WOCVH5TNBENMYLKUVCTE}

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	2026-05-18T02:32:06.429257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef726feece154fd9b4246b30b552a2993909390c6b3814dce3804635791ed0ff

Aliases

arxiv: 0712.2533 · arxiv_version: 0712.2533v3 · doi: 10.48550/arxiv.0712.2533 · pith_short_12: 55ZG73WOCVH5 · pith_short_16: 55ZG73WOCVH5TNBE · pith_short_8: 55ZG73WO

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/55ZG73WOCVH5TNBENMYLKUVCTE \
  | 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: ef726feece154fd9b4246b30b552a2993909390c6b3814dce3804635791ed0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65dc80fab1a0cb51df71ae7908fac05f171d2cd74f7c03225c16cdaebaf93fee",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-17T16:26:59Z",
    "title_canon_sha256": "4fddff12dca7b34416fda6445b599560307ff758eccd397a10515f74574aa3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2533",
    "kind": "arxiv",
    "version": 3
  }
}