Pith Number

pith:MZCFKV7H

pith:2008:MZCFKV7H63PMLZVA5PJXGH4GGC

not attested not anchored not stored refs pending

The loop cohomology of a space with the polynomial cohomology algebra

Samson Saneblidze

arxiv:0810.4531 v5 · 2008-10-24 · 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{MZCFKV7H63PMLZVA5PJXGH4GGC}

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	2026-05-18T04:09:45.986976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66445557e7f6dec5e6a0ebd3731f863082914870ad1852209776df23b7fd6197

Aliases

arxiv: 0810.4531 · arxiv_version: 0810.4531v5 · doi: 10.48550/arxiv.0810.4531 · pith_short_12: MZCFKV7H63PM · pith_short_16: MZCFKV7H63PMLZVA · pith_short_8: MZCFKV7H

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/MZCFKV7H63PMLZVA5PJXGH4GGC \
  | 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: 66445557e7f6dec5e6a0ebd3731f863082914870ad1852209776df23b7fd6197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85dc66302f47e7eefaa3e0acb95905849d9df78aa6b4ff122fc02f915fa90cc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-10-24T19:22:49Z",
    "title_canon_sha256": "05ca36049ca2f3a0c2cbe957b556cfb4c5955a9693d874e43082e2e2e4e2f02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4531",
    "kind": "arxiv",
    "version": 5
  }
}