Pith Number

pith:VFLT3IXT

pith:2013:VFLT3IXTWWNMYJ4YVMFVFQRSD3

not attested not anchored not stored refs pending

A classification of small homotopy functors from spectra to spectra

Boris Chorny

arxiv:1303.7108 v2 · 2013-03-28 · 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{VFLT3IXTWWNMYJ4YVMFVFQRSD3}

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	2026-05-18T01:28:06.250201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9573da2f3b59acc2798ab0b52c2321ecd9306583973d830f59679b602d455da

Aliases

arxiv: 1303.7108 · arxiv_version: 1303.7108v2 · doi: 10.48550/arxiv.1303.7108 · pith_short_12: VFLT3IXTWWNM · pith_short_16: VFLT3IXTWWNMYJ4Y · pith_short_8: VFLT3IXT

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/VFLT3IXTWWNMYJ4YVMFVFQRSD3 \
  | 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: a9573da2f3b59acc2798ab0b52c2321ecd9306583973d830f59679b602d455da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23902762db8d10d64e0c2f3f97525f9c7397acc5bfb1d95adcf82b96431e6637",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-03-28T11:58:38Z",
    "title_canon_sha256": "f4a71a35a31fe02ebd56cd1015e506d6cc8d9a4ad4e4824e5c313c4080df504e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7108",
    "kind": "arxiv",
    "version": 2
  }
}