Pith Number

pith:XPGREFPY

pith:2011:XPGREFPYJKADW4ZDFP7XJDBT6E

not attested not anchored not stored refs pending

On the cohomology of the free loop space of a complex projective space

Nora Seeliger

arxiv:1110.6608 v1 · 2011-10-30 · 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{XPGREFPYJKADW4ZDFP7XJDBT6E}

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	2026-05-18T04:09:55.086120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbcd1215f84a803b73232bff748c33f119eb90f5c779b24453c202ed8e76f4b3

Aliases

arxiv: 1110.6608 · arxiv_version: 1110.6608v1 · doi: 10.48550/arxiv.1110.6608 · pith_short_12: XPGREFPYJKAD · pith_short_16: XPGREFPYJKADW4ZD · pith_short_8: XPGREFPY

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/XPGREFPYJKADW4ZDFP7XJDBT6E \
  | 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: bbcd1215f84a803b73232bff748c33f119eb90f5c779b24453c202ed8e76f4b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a743ee98ad7f82baff064bd6cd517cb6eb32385af7cd4d160084dbc2fce751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-30T13:57:15Z",
    "title_canon_sha256": "6cdfe41eb7dcae0e7a33341e99b91dd7f7def3dc501672d1bf5cadb039fd78f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6608",
    "kind": "arxiv",
    "version": 1
  }
}