pith. sign in
Pith Number

pith:AWNEF5LF

pith:2016:AWNEF5LF4KTIOUM5DD2ZHVS5LN
not attested not anchored not stored refs pending

Doodles on surfaces

Andrew Bartholomew, Naoko Kamada, Roger Fenn, Seiichi Kamada

arxiv:1612.08473 v2 · 2016-12-27 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AWNEF5LF4KTIOUM5DD2ZHVS5LN}

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 2026-05-18T00:25:42.299571Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

059a42f565e2a687519d18f593d65d5b517092d6319ecfeb2a16af23e5338d32

Aliases

arxiv: 1612.08473 · arxiv_version: 1612.08473v2 · doi: 10.48550/arxiv.1612.08473 · pith_short_12: AWNEF5LF4KTI · pith_short_16: AWNEF5LF4KTIOUM5 · pith_short_8: AWNEF5LF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AWNEF5LF4KTIOUM5DD2ZHVS5LN \
  | 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: 059a42f565e2a687519d18f593d65d5b517092d6319ecfeb2a16af23e5338d32
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2bb8b97a0a302739c5b7da76cf1e3291d6e98042b3451dc64e9d0bfbcf599abc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-27T01:54:16Z",
    "title_canon_sha256": "db6c2f0d5e1f0f0b39678728b66eed04e48056b3659dd1145f4ce873d096f7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08473",
    "kind": "arxiv",
    "version": 2
  }
}