Pith Number

pith:S5C5NFSU

pith:2025:S5C5NFSUARKN3P6WP3EJGSO4PB

not attested not anchored not stored refs pending

An adjunction inequality for Real embedded surfaces

David Baraglia

arxiv:2507.05667 v2 · 2025-07-08 · math.GT · 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{S5C5NFSUARKN3P6WP3EJGSO4PB}

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	2026-06-19T16:09:49.987108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9745d696540454ddbfd67ec89349dc7841f9cf74bf04ad4dc035e602496e1da8

Aliases

arxiv: 2507.05667 · arxiv_version: 2507.05667v2 · doi: 10.48550/arxiv.2507.05667 · pith_short_12: S5C5NFSUARKN · pith_short_16: S5C5NFSUARKN3P6W · pith_short_8: S5C5NFSU

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/S5C5NFSUARKN3P6WP3EJGSO4PB \
  | 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: 9745d696540454ddbfd67ec89349dc7841f9cf74bf04ad4dc035e602496e1da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb653e91cbfe5f588e2eadef3272660ee05cbf96df2b0232bef974431bcd1c9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-08T04:51:09Z",
    "title_canon_sha256": "6476d1942e5e85436a793cac756715f273090ec567199a4515a886a6a8f33746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05667",
    "kind": "arxiv",
    "version": 2
  }
}