Pith Number

pith:HFEJOXEB

pith:2011:HFEJOXEB7SH7FKIEBP5PPHPABL

not attested not anchored not stored refs pending

A Projective Model Structure on Pro Simplicial Sheaves, and the Relative \'Etale Homotopy Type

Ilan Barnea, Tomer M. Schlank

arxiv:1109.5477 v9 · 2011-09-26 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFEJOXEB7SH7FKIEBP5PPHPABL}

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	2026-05-18T01:25:31.062912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3948975c81fc8ff2a9040bfaf79de00af0d748f2d958d216f0ce225b7374eb42

Aliases

arxiv: 1109.5477 · arxiv_version: 1109.5477v9 · doi: 10.48550/arxiv.1109.5477 · pith_short_12: HFEJOXEB7SH7 · pith_short_16: HFEJOXEB7SH7FKIE · pith_short_8: HFEJOXEB

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/HFEJOXEB7SH7FKIEBP5PPHPABL \
  | 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: 3948975c81fc8ff2a9040bfaf79de00af0d748f2d958d216f0ce225b7374eb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4b56376bed3e552be0300da77d189d83fe0e4239a2016a0449591b52e9b359",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-26T08:13:26Z",
    "title_canon_sha256": "81b47565686832b5a1bbd0f5d096825d78d9058a1ce7160aea36144c5c3a027a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5477",
    "kind": "arxiv",
    "version": 9
  }
}