Pith Number

pith:5IL7W6CM

pith:1996:5IL7W6CMNGASXSH4IM5LZKWLLG

not attested not anchored not stored refs pending

Low $M^*$-estimates on coordinate subspaces

Apostolos A. Giannopoulos, Vitali D. Milman

arxiv:math/9605218 v1 · 1996-05-02 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IL7W6CMNGASXSH4IM5LZKWLLG}

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	2026-05-18T01:05:47.450118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea17fb784c69812bc8fc433abcaacb59919b4005649199625322ef5a71009f90

Aliases

arxiv: math/9605218 · arxiv_version: math/9605218v1 · doi: 10.48550/arxiv.math/9605218 · pith_short_12: 5IL7W6CMNGAS · pith_short_16: 5IL7W6CMNGASXSH4 · pith_short_8: 5IL7W6CM

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/5IL7W6CMNGASXSH4IM5LZKWLLG \
  | 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: ea17fb784c69812bc8fc433abcaacb59919b4005649199625322ef5a71009f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f16a869a96e1b2ecaacbaf043f597869d5bcfccdeeb71d6b49245c3f8cf30b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1996-05-02T00:00:00Z",
    "title_canon_sha256": "78067c78d88700f3013990fd52b0e0417b06a998f05a80f8cf0ebc5694c1cce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9605218",
    "kind": "arxiv",
    "version": 1
  }
}