Pith Number

pith:JAIEVSVL

pith:2026:JAIEVSVLAJUZ6X3EJLGZGRFVP5

not attested not anchored not stored refs pending

Image nonconcordance of positive-genus $\pi_1$-injective surfaces

Weizhe Niu

arxiv:2606.29122 v1 · 2026-06-28 · 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{JAIEVSVLAJUZ6X3EJLGZGRFVP5}

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	2026-06-30T01:17:53.544698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48104acaab02699f5f644acd9344b57f532714498b783993c4285ecb91472b67

Aliases

arxiv: 2606.29122 · arxiv_version: 2606.29122v1 · doi: 10.48550/arxiv.2606.29122 · pith_short_12: JAIEVSVLAJUZ · pith_short_16: JAIEVSVLAJUZ6X3E · pith_short_8: JAIEVSVL

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/JAIEVSVLAJUZ6X3EJLGZGRFVP5 \
  | 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: 48104acaab02699f5f644acd9344b57f532714498b783993c4285ecb91472b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a05db59dc3e6b209c4e38eed33579d3bed5101a287b714e995e36304089ca8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-28T00:21:24Z",
    "title_canon_sha256": "18fc8834558959cb667cba7a01541de5a26b3a759161ec5c6ef89852fbf6b78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29122",
    "kind": "arxiv",
    "version": 1
  }
}