Pith Number

pith:3BBA4R3J

pith:2012:3BBA4R3JNTMQFQMMXDZ7QQGQS4

not attested not anchored not stored refs pending

$L_infty$ rational homotopy of mapping spaces

Aniceto Murillo, Urtzi Buijs, Yves F\'elix

arxiv:1209.4756 v1 · 2012-09-21 · 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{3BBA4R3JNTMQFQMMXDZ7QQGQS4}

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	2026-05-18T03:45:10.046480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8420e47696cd902c18cb8f3f840d09723a931c664d5a6468168b634f719df8f

Aliases

arxiv: 1209.4756 · arxiv_version: 1209.4756v1 · doi: 10.48550/arxiv.1209.4756 · pith_short_12: 3BBA4R3JNTMQ · pith_short_16: 3BBA4R3JNTMQFQMM · pith_short_8: 3BBA4R3J

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/3BBA4R3JNTMQFQMMXDZ7QQGQS4 \
  | 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: d8420e47696cd902c18cb8f3f840d09723a931c664d5a6468168b634f719df8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffe2b6d5ab7be816d509c078d61d2ed31bcdb863fa890c6f55a242b7f46c332",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-21T09:28:34Z",
    "title_canon_sha256": "1ad3d493af4a181700a21b2dac504fa956d42841f59fcad6ab2c59f045e66571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4756",
    "kind": "arxiv",
    "version": 1
  }
}