Pith Number

pith:MR4TRSEE

pith:2011:MR4TRSEE4N6CSQXDILCM3VCXHK

not attested not anchored not stored refs pending

Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras

Alexander Berglund

arxiv:1110.6145 v2 · 2011-10-27 · 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{MR4TRSEE4N6CSQXDILCM3VCXHK}

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	2026-05-18T01:36:02.354925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647938c884e37c2942e342c4cdd4573aa351eafcf6e50f9d5bc84b76d6ff5adf

Aliases

arxiv: 1110.6145 · arxiv_version: 1110.6145v2 · doi: 10.48550/arxiv.1110.6145 · pith_short_12: MR4TRSEE4N6C · pith_short_16: MR4TRSEE4N6CSQXD · pith_short_8: MR4TRSEE

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/MR4TRSEE4N6CSQXDILCM3VCXHK \
  | 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: 647938c884e37c2942e342c4cdd4573aa351eafcf6e50f9d5bc84b76d6ff5adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfb1d20c63f584d909d197ba18cbdd731c8e9eed855aabd5ca38a4dcb907a10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-27T17:37:58Z",
    "title_canon_sha256": "5e8d2013af87635b5fe3a788ae9da57d7d400dbe58f3f0db3986f2e49efe5f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6145",
    "kind": "arxiv",
    "version": 2
  }
}