Pith Number

pith:JDID2JEV

pith:2005:JDID2JEVAQ5ZZTD73FNTIICKGZ

not attested not anchored not stored refs pending

Impossible metric conditions on exotic R^4's

Laurence R. Taylor

arxiv:math/0510450 v1 · 2005-10-21 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDID2JEVAQ5ZZTD73FNTIICKGZ}

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	2026-05-18T03:39:03.915295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d03d2495043b9ccc7fd95b34204a367b8930e03af813b877157c9ab2de77c1

Aliases

arxiv: math/0510450 · arxiv_version: math/0510450v1 · doi: 10.48550/arxiv.math/0510450 · pith_short_12: JDID2JEVAQ5Z · pith_short_16: JDID2JEVAQ5ZZTD7 · pith_short_8: JDID2JEV

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/JDID2JEVAQ5ZZTD73FNTIICKGZ \
  | 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: 48d03d2495043b9ccc7fd95b34204a367b8930e03af813b877157c9ab2de77c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1731cf371608ae89d20cad77947f4501176da34277b8d0d235bdadeee23800",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-10-21T14:46:13Z",
    "title_canon_sha256": "76f4148bb3227e35f79e2bc7f89cc0a879d1b95a0b8b67b19e3240ba1d03c057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510450",
    "kind": "arxiv",
    "version": 1
  }
}