Pith Number

pith:MFAWVJE6

pith:2013:MFAWVJE65HPZZESKDAT7RCQBL6

not attested not anchored not stored refs pending

Algorithmic solvability of the lifting-extension problem

Luk\'a\v{s} Vok\v{r}\'inek, Marek Kr\v{c}\'al, Martin \v{C}adek

arxiv:1307.6444 v4 · 2013-07-24 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFAWVJE65HPZZESKDAT7RCQBL6}

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	2026-05-18T01:02:59.614422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61416aa49ee9df9c924a1827f88a015f834f015df81b6bd66477801d8d3acc75

Aliases

arxiv: 1307.6444 · arxiv_version: 1307.6444v4 · doi: 10.48550/arxiv.1307.6444 · pith_short_12: MFAWVJE65HPZ · pith_short_16: MFAWVJE65HPZZESK · pith_short_8: MFAWVJE6

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/MFAWVJE65HPZZESKDAT7RCQBL6 \
  | 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: 61416aa49ee9df9c924a1827f88a015f834f015df81b6bd66477801d8d3acc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cd84d1272045e886bac2d89e8524d42cf8fb560de07d19788c15a266c2c1ec",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-24T14:58:03Z",
    "title_canon_sha256": "d391e0e79373273f698cb084ab085cdad4529d6dc4405093df02f03ac8c90312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6444",
    "kind": "arxiv",
    "version": 4
  }
}