Pith Number

pith:AZQWFKHK

pith:2017:AZQWFKHK6ROKXAPMMSI2VUECIX

not attested not anchored not stored refs pending

Spectral invariants for polygons and orbisurfaces

Eren Ucar

arxiv:1711.03405 v1 · 2017-11-09 · 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{AZQWFKHK6ROKXAPMMSI2VUECIX}

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	2026-05-18T00:30:56.221974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066162a8eaf45cab81ec6491aad08245d77339398082e68e93a1338b518d081c

Aliases

arxiv: 1711.03405 · arxiv_version: 1711.03405v1 · doi: 10.48550/arxiv.1711.03405 · pith_short_12: AZQWFKHK6ROK · pith_short_16: AZQWFKHK6ROKXAPM · pith_short_8: AZQWFKHK

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/AZQWFKHK6ROKXAPMMSI2VUECIX \
  | 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: 066162a8eaf45cab81ec6491aad08245d77339398082e68e93a1338b518d081c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e0992b10323a885fe9e624e32d737070b6416effc32cc73e5cee48d82eee5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-09T15:00:58Z",
    "title_canon_sha256": "14e1679dd2da191cb8f0b2a9d613ef720166933399302587d8cba094a8bd3060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03405",
    "kind": "arxiv",
    "version": 1
  }
}