Pith Number

pith:AYESII6Z

pith:2013:AYESII6ZW5SSJRNRYUI46PHFGK

not attested not anchored not stored refs pending

On angles in Teichm\"uller spaces

Yuliang Shen, Yun Hu

arxiv:1305.0628 v2 · 2013-05-03 · math.CV · 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{AYESII6ZW5SSJRNRYUI46PHFGK}

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	2026-05-18T01:37:51.454204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06092423d9b76524c5b1c511cf3ce532aae4ee409ca0e76862f63930fa8bb36a

Aliases

arxiv: 1305.0628 · arxiv_version: 1305.0628v2 · doi: 10.48550/arxiv.1305.0628 · pith_short_12: AYESII6ZW5SS · pith_short_16: AYESII6ZW5SSJRNR · pith_short_8: AYESII6Z

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/AYESII6ZW5SSJRNRYUI46PHFGK \
  | 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: 06092423d9b76524c5b1c511cf3ce532aae4ee409ca0e76862f63930fa8bb36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507c8433179a5b241bb4737c6c600f18583fadeb72ed4a34c6d93726537dc1e9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-03T06:39:24Z",
    "title_canon_sha256": "48d79967aef76097392ab877384496e720ba039be2db88859ef9e41c125c3bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0628",
    "kind": "arxiv",
    "version": 2
  }
}