Pith Number

pith:VTTBM2EI

pith:2018:VTTBM2EIAMKMVGQJCNZUFTDION

not attested not anchored not stored refs pending

On the two-systole of real projective spaces

Lucas Ambrozio, Rafael Montezuma

arxiv:1809.03636 v2 · 2018-09-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTTBM2EIAMKMVGQJCNZUFTDION}

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	2026-05-18T00:02:24.687931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace61668880314ca9a09137342cc687349503187557e7e92030c804640b4b3fa

Aliases

arxiv: 1809.03636 · arxiv_version: 1809.03636v2 · doi: 10.48550/arxiv.1809.03636 · pith_short_12: VTTBM2EIAMKM · pith_short_16: VTTBM2EIAMKMVGQJ · pith_short_8: VTTBM2EI

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/VTTBM2EIAMKMVGQJCNZUFTDION \
  | 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: ace61668880314ca9a09137342cc687349503187557e7e92030c804640b4b3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a91bbcde4b046760ed63cbf2d4b56135c6d6d85a46b6df06674b35e959c017c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-10T23:46:24Z",
    "title_canon_sha256": "38a31b39d7065530715e2ead9933f49bbe2f6dec0f33abfd92c4134dbdfc1348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03636",
    "kind": "arxiv",
    "version": 2
  }
}